TSTP Solution File: ITP006+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cEyTGBTOi4 true

% Computer : n006.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 05:20:50 EDT 2023

% Result   : Theorem 17.39s 3.15s
% Output   : Refutation 17.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   47 (  13 unt;  19 typ;   0 def)
%            Number of atoms       :   69 (  14 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  723 (  20   ~;  11   |;   8   &; 662   @)
%                                         (  11 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   9 con; 0-4 aty)
%            Number of variables   :   57 (   0   ^;  53   !;   4   ?;  57   :)

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

thf(c_2Ebool_2ET_2E0_type,type,
    c_2Ebool_2ET_2E0: $i ).

thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: $i > $i > $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(tyop_2Emin_2Efun_type,type,
    tyop_2Emin_2Efun: $i > $i > $i ).

thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: $i > $i > $i ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: $i ).

thf(p_type,type,
    p: $i > $o ).

thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: $i > $i > $i ).

thf(c_2Ebool_2EF_2E0_type,type,
    c_2Ebool_2EF_2E0: $i ).

thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: $i > $i > $i ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(c_2EquantHeuristics_2EGUESS__EXISTS_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS_2E2: $i > $i > $i ).

thf(c_2EquantHeuristics_2EGUESS__FORALL_2E2_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL_2E2: $i > $i > $i ).

thf(app_2E2_type,type,
    app_2E2: $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i > $i > $i ).

thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
    ! [V0t_2E0: $i] :
      ( ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
          = ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
      <=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
      & ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
          = ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
      <=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
      & ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
          = ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
      <=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
      & ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
          = ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
      <=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) ) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
        = ( s @ tyop_2Emin_2Ebool @ X0 ) )
      | ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).

thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
    ! [A_27a: $i,A_27b: $i,V0i_2E0: $i,V1P_2E0: $i,V2Q_2E0: $i] :
      ( ! [V3x_2E0: $i] :
          ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
         => ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
     => ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
       => ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: $i,A_27b: $i,V0i_2E0: $i,V1P_2E0: $i,V2Q_2E0: $i] :
        ( ! [V3x_2E0: $i] :
            ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
           => ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
       => ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
         => ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).

thf(zip_derived_cl221,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reserved_2Eho_2Etruth,axiom,
    p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ).

thf(zip_derived_cl3,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
    inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).

thf(reserved_2Eho_2Eboolext,axiom,
    ! [V0_2E0: $i,V1_2E0: $i] :
      ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
      <=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
     => ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
        = ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( s @ tyop_2Emin_2Ebool @ X1 )
        = ( s @ tyop_2Emin_2Ebool @ X0 ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1 ) ) ),
    inference(cnf,[status(esa)],[reserved_2Eho_2Eboolext]) ).

thf(zip_derived_cl1764,plain,
    ! [X0: $i] :
      ( ( ( s @ tyop_2Emin_2Ebool @ X0 )
        = ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl2193,plain,
    ( ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) ) )
    = ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl1764]) ).

thf(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
    ! [A_27a: $i,A_27b: $i,V0i_2E0: $i,V1P_2E0: $i] :
      ( ! [V16i_2E0: $i,V17P_2E0: $i] :
          ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) ) ) )
        <=> ! [V18v_2E0: $i] :
              ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) @ ( s @ A_27b @ V18v_2E0 ) ) ) )
             => ? [V19fv_2E0: $i] :
                  ( ( s @ A_27b @ V18v_2E0 )
                  = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ A_27a @ V19fv_2E0 ) ) ) ) ) )
      & ! [V12i_2E0: $i,V13P_2E0: $i] :
          ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) ) ) )
        <=> ! [V14v_2E0: $i] :
              ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) @ ( s @ A_27b @ V14v_2E0 ) ) ) )
             => ? [V15fv_2E0: $i] :
                  ( ( s @ A_27b @ V14v_2E0 )
                  = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ A_27a @ V15fv_2E0 ) ) ) ) ) )
      & ! [V9i_2E0: $i,V10P_2E0: $i] :
          ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V9i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) ) ) )
        <=> ! [V11fv_2E0: $i] :
              ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V9i_2E0 ) @ ( s @ A_27a @ V11fv_2E0 ) ) ) ) ) ) )
      & ! [V6i_2E0: $i,V7P_2E0: $i] :
          ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) ) ) )
        <=> ! [V8fv_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ A_27a @ V8fv_2E0 ) ) ) ) ) ) )
      & ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
      <=> ! [V4v_2E0: $i] :
            ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ V4v_2E0 ) ) ) )
           => ? [V5fv_2E0: $i] :
                ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V5fv_2E0 ) ) ) ) ) ) ) )
      & ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
      <=> ! [V2v_2E0: $i] :
            ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ V2v_2E0 ) ) ) )
           => ? [V3fv_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V3fv_2E0 ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ X2 @ X4 ) ) ) ) ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(zip_derived_cl4976,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) @ ( s @ sk__13 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ sk__14 @ X0 ) ) ) ) ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2193,zip_derived_cl100]) ).

thf(zip_derived_cl3_001,plain,
    p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
    inference(cnf,[status(esa)],[reserved_2Eho_2Etruth]) ).

thf(zip_derived_cl4986,plain,
    ! [X0: $i] :
      ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) @ ( s @ sk__13 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ sk__14 @ X0 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4976,zip_derived_cl3]) ).

thf(zip_derived_cl5225,plain,
    ! [X0: $i] :
      ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
      = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) @ ( s @ sk__13 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ sk__14 @ X0 ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl4986]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
      | ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X2 ) @ ( s @ X0 @ ( sk__7 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i] :
      ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) @ ( s @ sk__13 @ X0 ) ) ) )
      | ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__17 ) @ ( s @ sk__13 @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5899,plain,
    ! [X0: $i,X1: $i] :
      ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__13 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__17 ) ) ) )
      | ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__16 ) @ ( s @ sk__13 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sk__13 ) @ X1 ) @ ( s @ X0 @ ( sk__7 @ sk__17 @ X1 @ sk__13 @ X0 ) ) ) ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl220]) ).

thf(zip_derived_cl11788,plain,
    ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__17 ) ) ) )
    | ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5225,zip_derived_cl5899]) ).

thf(zip_derived_cl74_002,plain,
    ! [X0: $i] :
      ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
        = ( s @ tyop_2Emin_2Ebool @ X0 ) )
      | ( p @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ),
    inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).

thf(zip_derived_cl219,plain,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__17 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3056,plain,
    ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
    = ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__14 @ sk__13 ) @ sk__15 ) @ ( s @ ( tyop_2Emin_2Efun @ sk__13 @ tyop_2Emin_2Ebool ) @ sk__17 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl219]) ).

thf(reserved_2Eho_2Enotfalse,axiom,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ).

thf(zip_derived_cl4,plain,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
    inference(cnf,[status(esa)],[reserved_2Eho_2Enotfalse]) ).

thf(zip_derived_cl4_003,plain,
    ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
    inference(cnf,[status(esa)],[reserved_2Eho_2Enotfalse]) ).

thf(zip_derived_cl11807,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl11788,zip_derived_cl3056,zip_derived_cl4,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP006+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cEyTGBTOi4 true
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 15:33:37 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.62  % Total configuration time : 435
% 0.21/0.62  % Estimated wc time : 1092
% 0.21/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.39/3.15  % Solved by fo/fo6_bce.sh.
% 17.39/3.15  % BCE start: 222
% 17.39/3.15  % BCE eliminated: 1
% 17.39/3.15  % PE start: 221
% 17.39/3.15  logic: eq
% 17.39/3.15  % PE eliminated: 80
% 17.39/3.15  % done 701 iterations in 2.419s
% 17.39/3.15  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.39/3.15  % SZS output start Refutation
% See solution above
% 17.39/3.15  
% 17.39/3.15  
% 17.39/3.15  % Terminating...
% 17.39/3.25  % Runner terminated.
% 17.39/3.27  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------