TSTP Solution File: RNG055+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lJSxUTg0IO true

% 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 : Thu Aug 31 14:06:33 EDT 2023

% Result   : Theorem 0.58s 0.84s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (  32 unt;  13 typ;   0 def)
%            Number of atoms       :  168 (  64 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  693 ( 103   ~;  62   |;  16   &; 495   @)
%                                         (   0 <=>;   3  =>;  14  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^;  49   !;   0   ?;  49   :)

% Comments : 
%------------------------------------------------------------------------------
thf(xP_type,type,
    xP: $i ).

thf(xH_type,type,
    xH: $i ).

thf(xA_type,type,
    xA: $i ).

thf(xp_type,type,
    xp: $i ).

thf(xB_type,type,
    xB: $i ).

thf(smndt0_type,type,
    smndt0: $i > $i ).

thf(sz0z00_type,type,
    sz0z00: $i ).

thf(xE_type,type,
    xE: $i ).

thf(sdtpldt0_type,type,
    sdtpldt0: $i > $i > $i ).

thf(aScalar0_type,type,
    aScalar0: $i > $o ).

thf(sdtasdt0_type,type,
    sdtasdt0: $i > $i > $i ).

thf(xq_type,type,
    xq: $i ).

thf(sdtasasdt0_type,type,
    sdtasasdt0: $i > $i > $i ).

thf(m__1911,axiom,
    ( ( xP
      = ( sdtasdt0 @ xE @ xH ) )
    & ( aScalar0 @ xP ) ) ).

thf(zip_derived_cl87,plain,
    ( xP
    = ( sdtasdt0 @ xE @ xH ) ),
    inference(cnf,[status(esa)],[m__1911]) ).

thf(mArith,axiom,
    ! [W0: $i,W1: $i,W2: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 )
        & ( aScalar0 @ W2 ) )
     => ( ( ( sdtpldt0 @ ( sdtpldt0 @ W0 @ W1 ) @ W2 )
          = ( sdtpldt0 @ W0 @ ( sdtpldt0 @ W1 @ W2 ) ) )
        & ( ( sdtpldt0 @ W0 @ W1 )
          = ( sdtpldt0 @ W1 @ W0 ) )
        & ( ( sdtasdt0 @ ( sdtasdt0 @ W0 @ W1 ) @ W2 )
          = ( sdtasdt0 @ W0 @ ( sdtasdt0 @ W1 @ W2 ) ) )
        & ( ( sdtasdt0 @ W0 @ W1 )
          = ( sdtasdt0 @ W1 @ W0 ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl325,plain,
    ! [X0: $i] :
      ( ~ ( aScalar0 @ xH )
      | ~ ( aScalar0 @ xE )
      | ~ ( aScalar0 @ X0 )
      | ( ( sdtasdt0 @ xP @ X0 )
        = ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl24]) ).

thf(m__1873,axiom,
    ( ( xH
      = ( sdtasdt0 @ xA @ xB ) )
    & ( aScalar0 @ xH ) ) ).

thf(zip_derived_cl84,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(m__1820,axiom,
    ( ( xE
      = ( sdtasasdt0 @ xp @ xq ) )
    & ( aScalar0 @ xE ) ) ).

thf(zip_derived_cl78,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl342,plain,
    ! [X0: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ( ( sdtasdt0 @ xP @ X0 )
        = ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl84,zip_derived_cl78]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl100,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(zip_derived_cl78_001,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(mScZero,axiom,
    ! [W0: $i] :
      ( ( aScalar0 @ W0 )
     => ( ( ( sdtpldt0 @ W0 @ sz0z00 )
          = W0 )
        & ( ( sdtpldt0 @ sz0z00 @ W0 )
          = W0 )
        & ( ( sdtasdt0 @ W0 @ sz0z00 )
          = sz0z00 )
        & ( ( sdtasdt0 @ sz0z00 @ W0 )
          = sz0z00 )
        & ( ( sdtpldt0 @ W0 @ ( smndt0 @ W0 ) )
          = sz0z00 )
        & ( ( sdtpldt0 @ ( smndt0 @ W0 ) @ W0 )
          = sz0z00 )
        & ( ( smndt0 @ ( smndt0 @ W0 ) )
          = W0 )
        & ( ( smndt0 @ sz0z00 )
          = sz0z00 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( ( smndt0 @ sz0z00 )
        = sz0z00 )
      | ~ ( aScalar0 @ X0 ) ),
    inference(cnf,[status(esa)],[mScZero]) ).

thf(zip_derived_cl95,plain,
    ( ! [X0: $i] :
        ~ ( aScalar0 @ X0 )
   <= ! [X0: $i] :
        ~ ( aScalar0 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf('0',plain,
    ~ ! [X0: $i] :
        ~ ( aScalar0 @ X0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl95]) ).

thf('1',plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) )
    | ! [X0: $i] :
        ~ ( aScalar0 @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('2',plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference('sat_resolution*',[status(thm)],['0','1']) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl100,'2']) ).

thf(zip_derived_cl342_002,plain,
    ! [X0: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ( ( sdtasdt0 @ xP @ X0 )
        = ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ X0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl84,zip_derived_cl78]) ).

thf(zip_derived_cl128_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl100,'2']) ).

thf(zip_derived_cl24_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ~ ( aScalar0 @ X2 )
      | ( ( sdtasdt0 @ ( sdtasdt0 @ X1 @ X0 ) @ X2 )
        = ( sdtasdt0 @ X1 @ ( sdtasdt0 @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[mArith]) ).

thf(zip_derived_cl128_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( ( sdtasdt0 @ X1 @ X0 )
        = ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl100,'2']) ).

thf(zip_derived_cl100_006,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf(m__,conjecture,
    ( ( sdtasdt0 @ xP @ xP )
    = ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xE @ xE ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xE @ xE ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl94,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ ( sdtasdt0 @ xH @ xH ) @ ( sdtasdt0 @ xE @ xE ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl101,plain,
    ( ( ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) )
      | ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
      | ( ( sdtasdt0 @ xP @ xP )
       != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( aScalar0 @ X0 )
        | ~ ( aScalar0 @ X1 )
        | ( ( sdtasdt0 @ X1 @ X0 )
          = ( sdtasdt0 @ X0 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl94]) ).

thf(zip_derived_cl117,plain,
    ( ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl188,plain,
    ( ( ~ ( aScalar0 @ xE )
      | ~ ( aScalar0 @ xE )
      | ( ( sdtasdt0 @ xP @ xP )
       != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl117]) ).

thf(zip_derived_cl78_007,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl78_008,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl216,plain,
    ( ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl188,zip_derived_cl78,zip_derived_cl78]) ).

thf(zip_derived_cl115,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) )
   <= ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(mMulSc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aScalar0 @ W0 )
        & ( aScalar0 @ W1 ) )
     => ( aScalar0 @ ( sdtasdt0 @ W0 @ W1 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl223,plain,
    ( ( ~ ( aScalar0 @ xE )
      | ~ ( aScalar0 @ xE ) )
   <= ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl115,zip_derived_cl12]) ).

thf(zip_derived_cl78_009,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl78_010,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf('3',plain,
    aScalar0 @ ( sdtasdt0 @ xE @ xE ),
    inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl78,zip_derived_cl78]) ).

thf(zip_derived_cl116,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
   <= ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf(zip_derived_cl12_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aScalar0 @ X0 )
      | ~ ( aScalar0 @ X1 )
      | ( aScalar0 @ ( sdtasdt0 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mMulSc]) ).

thf(zip_derived_cl224,plain,
    ( ( ~ ( aScalar0 @ xH )
      | ~ ( aScalar0 @ xH ) )
   <= ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl116,zip_derived_cl12]) ).

thf(zip_derived_cl84_012,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl84_013,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf('4',plain,
    aScalar0 @ ( sdtasdt0 @ xH @ xH ),
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl84,zip_derived_cl84]) ).

thf('5',plain,
    ( ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ~ ! [X0: $i,X1: $i] :
          ( ~ ( aScalar0 @ X0 )
          | ~ ( aScalar0 @ X1 )
          | ( ( sdtasdt0 @ X1 @ X0 )
            = ( sdtasdt0 @ X0 @ X1 ) ) )
    | ~ ( aScalar0 @ ( sdtasdt0 @ xE @ xE ) ) ),
    inference(split,[status(esa)],[zip_derived_cl101]) ).

thf('6',plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ),
    inference('sat_resolution*',[status(thm)],['3','0','1','4','5']) ).

thf(zip_derived_cl253,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ ( sdtasdt0 @ xE @ xE ) @ ( sdtasdt0 @ xH @ xH ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl216,'6']) ).

thf(zip_derived_cl311,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ~ ( aScalar0 @ xE )
    | ~ ( aScalar0 @ xE )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl253]) ).

thf(zip_derived_cl78_014,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl78_015,plain,
    aScalar0 @ xE,
    inference(cnf,[status(esa)],[m__1820]) ).

thf(zip_derived_cl348,plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl78,zip_derived_cl78]) ).

thf(zip_derived_cl351,plain,
    ( ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl348]) ).

thf(zip_derived_cl352,plain,
    ( ( ~ ( aScalar0 @ xH )
      | ~ ( aScalar0 @ xH )
      | ( ( sdtasdt0 @ xP @ xP )
       != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl351]) ).

thf(zip_derived_cl84_016,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl84_017,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl354,plain,
    ( ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) )
   <= ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl84,zip_derived_cl84]) ).

thf('7',plain,
    ( ~ ( aScalar0 @ ( sdtasdt0 @ xH @ xH ) )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl348]) ).

thf('8',plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference('sat_resolution*',[status(thm)],['4','7']) ).

thf(zip_derived_cl355,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xH ) ) ) ),
    inference(simpl_trail,[status(thm)],[zip_derived_cl354,'8']) ).

thf(zip_derived_cl454,plain,
    ( ~ ( aScalar0 @ xH )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xP @ xH ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl355]) ).

thf(zip_derived_cl84_018,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl467,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xP @ xH ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl454,zip_derived_cl84]) ).

thf(zip_derived_cl468,plain,
    ( ~ ( aScalar0 @ xH )
    | ~ ( aScalar0 @ xP )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xP ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl467]) ).

thf(zip_derived_cl84_019,plain,
    aScalar0 @ xH,
    inference(cnf,[status(esa)],[m__1873]) ).

thf(zip_derived_cl88,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl470,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ xE @ ( sdtasdt0 @ xH @ xP ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl468,zip_derived_cl84,zip_derived_cl88]) ).

thf(zip_derived_cl472,plain,
    ( ~ ( aScalar0 @ xP )
    | ( ( sdtasdt0 @ xP @ xP )
     != ( sdtasdt0 @ xP @ xP ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl342,zip_derived_cl470]) ).

thf(zip_derived_cl88_020,plain,
    aScalar0 @ xP,
    inference(cnf,[status(esa)],[m__1911]) ).

thf(zip_derived_cl473,plain,
    ( ( sdtasdt0 @ xP @ xP )
   != ( sdtasdt0 @ xP @ xP ) ),
    inference(demod,[status(thm)],[zip_derived_cl472,zip_derived_cl88]) ).

thf(zip_derived_cl474,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl473]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : RNG055+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lJSxUTg0IO true
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 01:44:59 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.64  % Total configuration time : 435
% 0.22/0.64  % Estimated wc time : 1092
% 0.22/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/0.84  % Solved by fo/fo1_av.sh.
% 0.58/0.84  % done 146 iterations in 0.056s
% 0.58/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.84  % SZS output start Refutation
% See solution above
% 0.58/0.84  
% 0.58/0.84  
% 0.58/0.84  % Terminating...
% 2.03/0.95  % Runner terminated.
% 2.03/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------