TSTP Solution File: SYO387^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO387^5 : 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.aU2T9HNGH9 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 : Fri Sep  1 05:50:57 EDT 2023

% Result   : Theorem 3.08s 1.08s
% Output   : Refutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   75 (  16 unt;  14 typ;   0 def)
%            Number of atoms       :  275 (   0 equ;   0 cnn)
%            Maximal formula atoms :   46 (   4 avg)
%            Number of connectives : 1072 ( 178   ~; 164   |;  50   &; 680   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   5 con; 0-3 aty)
%            Number of variables   :  257 (   0   ^; 257   !;   0   ?; 257   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cQ_1_type,type,
    cQ_1: $i > $i > $i > $o ).

thf(d_type,type,
    d: $i ).

thf(cQ_2_type,type,
    cQ_2: $i > $i > $i > $o ).

thf(cQ_5_type,type,
    cQ_5: $i > $i > $i > $o ).

thf(cP_3_type,type,
    cP_3: $i > $i > $o ).

thf(cP_4_type,type,
    cP_4: $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(cQ_3_type,type,
    cQ_3: $i > $i > $i > $o ).

thf(a_type,type,
    a: $i ).

thf(c_type,type,
    c: $i ).

thf(cQ_4_type,type,
    cQ_4: $i > $i > $i > $o ).

thf(cP_2_type,type,
    cP_2: $i > $i > $o ).

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

thf(cP_1_type,type,
    cP_1: $i > $i > $o ).

thf(cTHM409_4,conjecture,
    ~ ( ( cQ_1 @ a @ b @ c )
      & ( cP_1 @ a @ a )
      & ( cP_1 @ b @ b )
      & ( cP_1 @ c @ c )
      & ! [Xx: $i] : ( cP_1 @ d @ Xx )
      & ! [Xx: $i,Xy: $i] :
          ( ( cP_1 @ ( f @ Xx ) @ Xy )
          | ~ ( cP_1 @ Xx @ Xy ) )
      & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
          ( ( cQ_2 @ Xu @ Xv @ Xw )
          | ~ ( cP_1 @ ( f @ Xz ) @ Xw )
          | ~ ( cP_1 @ ( f @ Xy ) @ Xv )
          | ~ ( cP_1 @ ( f @ Xx ) @ Xu )
          | ~ ( cQ_1 @ Xx @ Xy @ Xz ) )
      & ( cP_2 @ a @ a )
      & ( cP_2 @ b @ b )
      & ( cP_2 @ c @ c )
      & ! [Xx: $i] : ( cP_2 @ d @ Xx )
      & ! [Xx: $i,Xy: $i] :
          ( ( cP_2 @ ( f @ Xx ) @ Xy )
          | ~ ( cP_2 @ Xx @ Xy ) )
      & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
          ( ( cQ_3 @ Xu @ Xv @ Xw )
          | ~ ( cP_2 @ ( f @ Xz ) @ Xw )
          | ~ ( cP_2 @ ( f @ Xy ) @ Xv )
          | ~ ( cP_2 @ ( f @ Xx ) @ Xu )
          | ~ ( cQ_2 @ Xx @ Xy @ Xz ) )
      & ( cP_3 @ a @ a )
      & ( cP_3 @ b @ b )
      & ( cP_3 @ c @ c )
      & ! [Xx: $i] : ( cP_3 @ d @ Xx )
      & ! [Xx: $i,Xy: $i] :
          ( ( cP_3 @ ( f @ Xx ) @ Xy )
          | ~ ( cP_3 @ Xx @ Xy ) )
      & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
          ( ( cQ_4 @ Xu @ Xv @ Xw )
          | ~ ( cP_3 @ ( f @ Xz ) @ Xw )
          | ~ ( cP_3 @ ( f @ Xy ) @ Xv )
          | ~ ( cP_3 @ ( f @ Xx ) @ Xu )
          | ~ ( cQ_3 @ Xx @ Xy @ Xz ) )
      & ( cP_4 @ a @ a )
      & ( cP_4 @ b @ b )
      & ( cP_4 @ c @ c )
      & ! [Xx: $i] : ( cP_4 @ d @ Xx )
      & ! [Xx: $i,Xy: $i] :
          ( ( cP_4 @ ( f @ Xx ) @ Xy )
          | ~ ( cP_4 @ Xx @ Xy ) )
      & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
          ( ( cQ_5 @ Xu @ Xv @ Xw )
          | ~ ( cP_4 @ ( f @ Xz ) @ Xw )
          | ~ ( cP_4 @ ( f @ Xy ) @ Xv )
          | ~ ( cP_4 @ ( f @ Xx ) @ Xu )
          | ~ ( cQ_4 @ Xx @ Xy @ Xz ) )
      & ! [Xx: $i,Xy: $i,Xz: $i] :
          ~ ( cQ_5 @ Xx @ Xy @ Xz ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( cQ_1 @ a @ b @ c )
    & ( cP_1 @ a @ a )
    & ( cP_1 @ b @ b )
    & ( cP_1 @ c @ c )
    & ! [Xx: $i] : ( cP_1 @ d @ Xx )
    & ! [Xx: $i,Xy: $i] :
        ( ( cP_1 @ ( f @ Xx ) @ Xy )
        | ~ ( cP_1 @ Xx @ Xy ) )
    & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
        ( ( cQ_2 @ Xu @ Xv @ Xw )
        | ~ ( cP_1 @ ( f @ Xz ) @ Xw )
        | ~ ( cP_1 @ ( f @ Xy ) @ Xv )
        | ~ ( cP_1 @ ( f @ Xx ) @ Xu )
        | ~ ( cQ_1 @ Xx @ Xy @ Xz ) )
    & ( cP_2 @ a @ a )
    & ( cP_2 @ b @ b )
    & ( cP_2 @ c @ c )
    & ! [Xx: $i] : ( cP_2 @ d @ Xx )
    & ! [Xx: $i,Xy: $i] :
        ( ( cP_2 @ ( f @ Xx ) @ Xy )
        | ~ ( cP_2 @ Xx @ Xy ) )
    & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
        ( ( cQ_3 @ Xu @ Xv @ Xw )
        | ~ ( cP_2 @ ( f @ Xz ) @ Xw )
        | ~ ( cP_2 @ ( f @ Xy ) @ Xv )
        | ~ ( cP_2 @ ( f @ Xx ) @ Xu )
        | ~ ( cQ_2 @ Xx @ Xy @ Xz ) )
    & ( cP_3 @ a @ a )
    & ( cP_3 @ b @ b )
    & ( cP_3 @ c @ c )
    & ! [Xx: $i] : ( cP_3 @ d @ Xx )
    & ! [Xx: $i,Xy: $i] :
        ( ( cP_3 @ ( f @ Xx ) @ Xy )
        | ~ ( cP_3 @ Xx @ Xy ) )
    & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
        ( ( cQ_4 @ Xu @ Xv @ Xw )
        | ~ ( cP_3 @ ( f @ Xz ) @ Xw )
        | ~ ( cP_3 @ ( f @ Xy ) @ Xv )
        | ~ ( cP_3 @ ( f @ Xx ) @ Xu )
        | ~ ( cQ_3 @ Xx @ Xy @ Xz ) )
    & ( cP_4 @ a @ a )
    & ( cP_4 @ b @ b )
    & ( cP_4 @ c @ c )
    & ! [Xx: $i] : ( cP_4 @ d @ Xx )
    & ! [Xx: $i,Xy: $i] :
        ( ( cP_4 @ ( f @ Xx ) @ Xy )
        | ~ ( cP_4 @ Xx @ Xy ) )
    & ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
        ( ( cQ_5 @ Xu @ Xv @ Xw )
        | ~ ( cP_4 @ ( f @ Xz ) @ Xw )
        | ~ ( cP_4 @ ( f @ Xy ) @ Xv )
        | ~ ( cP_4 @ ( f @ Xx ) @ Xu )
        | ~ ( cQ_4 @ Xx @ Xy @ Xz ) )
    & ! [Xx: $i,Xy: $i,Xz: $i] :
        ~ ( cQ_5 @ Xx @ Xy @ Xz ) ),
    inference('cnf.neg',[status(esa)],[cTHM409_4]) ).

thf(zip_derived_cl4,plain,
    cP_4 @ c @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    cP_4 @ b @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    cP_3 @ c @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    cP_4 @ a @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_4 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_4 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl16,plain,
    cP_2 @ c @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    cP_1 @ c @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    cP_2 @ b @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    cP_1 @ b @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    cP_2 @ a @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24,plain,
    cP_1 @ a @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    cQ_1 @ a @ b @ c,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X36: $i,X37: $i] :
      ( ( cP_1 @ ( f @ X36 ) @ X37 )
      | ~ ( cP_1 @ X36 @ X37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_001,plain,
    ! [X36: $i,X37: $i] :
      ( ( cP_1 @ ( f @ X36 ) @ X37 )
      | ~ ( cP_1 @ X36 @ X37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20_002,plain,
    ! [X36: $i,X37: $i] :
      ( ( cP_1 @ ( f @ X36 ) @ X37 )
      | ~ ( cP_1 @ X36 @ X37 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X30: $i,X31: $i,X32: $i,X33: $i,X34: $i,X35: $i] :
      ( ~ ( cP_1 @ ( f @ X30 ) @ X31 )
      | ~ ( cP_1 @ ( f @ X32 ) @ X33 )
      | ~ ( cQ_1 @ X32 @ X30 @ X34 )
      | ~ ( cP_1 @ ( f @ X34 ) @ X35 )
      | ( cQ_2 @ X33 @ X31 @ X35 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ X1 @ X0 )
      | ( cQ_2 @ X3 @ X0 @ X2 )
      | ~ ( cP_1 @ ( f @ X4 ) @ X2 )
      | ~ ( cQ_1 @ X5 @ X1 @ X4 )
      | ~ ( cP_1 @ ( f @ X5 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl19]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ X1 @ X0 )
      | ~ ( cP_1 @ ( f @ X3 ) @ X2 )
      | ~ ( cQ_1 @ X3 @ X4 @ X1 )
      | ( cQ_2 @ X2 @ X5 @ X0 )
      | ~ ( cP_1 @ X4 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl77]) ).

thf(zip_derived_cl161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ X1 @ X0 )
      | ~ ( cP_1 @ X3 @ X2 )
      | ( cQ_2 @ X0 @ X2 @ X4 )
      | ~ ( cQ_1 @ X1 @ X3 @ X5 )
      | ~ ( cP_1 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl151]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_1 @ c @ X0 )
      | ( cQ_2 @ X2 @ X1 @ X0 )
      | ~ ( cP_1 @ b @ X1 )
      | ~ ( cP_1 @ a @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl161]) ).

thf(zip_derived_cl14,plain,
    ! [X27: $i,X28: $i] :
      ( ( cP_2 @ ( f @ X27 ) @ X28 )
      | ~ ( cP_2 @ X27 @ X28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_003,plain,
    ! [X27: $i,X28: $i] :
      ( ( cP_2 @ ( f @ X27 ) @ X28 )
      | ~ ( cP_2 @ X27 @ X28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_004,plain,
    ! [X27: $i,X28: $i] :
      ( ( cP_2 @ ( f @ X27 ) @ X28 )
      | ~ ( cP_2 @ X27 @ X28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X21: $i,X22: $i,X23: $i,X24: $i,X25: $i,X26: $i] :
      ( ~ ( cP_2 @ ( f @ X21 ) @ X22 )
      | ~ ( cP_2 @ ( f @ X23 ) @ X24 )
      | ~ ( cQ_2 @ X23 @ X21 @ X25 )
      | ~ ( cP_2 @ ( f @ X25 ) @ X26 )
      | ( cQ_3 @ X24 @ X22 @ X26 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_2 @ X1 @ X0 )
      | ( cQ_3 @ X3 @ X0 @ X2 )
      | ~ ( cP_2 @ ( f @ X4 ) @ X2 )
      | ~ ( cQ_2 @ X5 @ X1 @ X4 )
      | ~ ( cP_2 @ ( f @ X5 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl13]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_2 @ X1 @ X0 )
      | ~ ( cP_2 @ ( f @ X3 ) @ X2 )
      | ~ ( cQ_2 @ X3 @ X4 @ X1 )
      | ( cQ_3 @ X2 @ X5 @ X0 )
      | ~ ( cP_2 @ X4 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl63]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_2 @ X1 @ X0 )
      | ~ ( cP_2 @ X3 @ X2 )
      | ( cQ_3 @ X0 @ X2 @ X4 )
      | ~ ( cQ_2 @ X1 @ X3 @ X5 )
      | ~ ( cP_2 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl129]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_1 @ a @ X2 )
      | ~ ( cP_1 @ b @ X1 )
      | ~ ( cP_1 @ c @ X0 )
      | ~ ( cP_2 @ X0 @ X3 )
      | ( cQ_3 @ X5 @ X4 @ X3 )
      | ~ ( cP_2 @ X1 @ X4 )
      | ~ ( cP_2 @ X2 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl145]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( cP_2 @ a @ X0 )
      | ~ ( cP_2 @ X2 @ X1 )
      | ( cQ_3 @ X0 @ X1 @ X3 )
      | ~ ( cP_2 @ X4 @ X3 )
      | ~ ( cP_1 @ c @ X4 )
      | ~ ( cP_1 @ b @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl175]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cP_1 @ b @ X0 )
      | ~ ( cP_1 @ c @ X1 )
      | ~ ( cP_2 @ X1 @ X2 )
      | ( cQ_3 @ a @ X3 @ X2 )
      | ~ ( cP_2 @ X0 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl341]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_2 @ b @ X0 )
      | ( cQ_3 @ a @ X0 @ X1 )
      | ~ ( cP_2 @ X2 @ X1 )
      | ~ ( cP_1 @ c @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl369]) ).

thf(zip_derived_cl373,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cP_1 @ c @ X0 )
      | ~ ( cP_2 @ X0 @ X1 )
      | ( cQ_3 @ a @ b @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl371]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i] :
      ( ( cQ_3 @ a @ b @ X0 )
      | ~ ( cP_2 @ c @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl373]) ).

thf(zip_derived_cl8,plain,
    ! [X18: $i,X19: $i] :
      ( ( cP_3 @ ( f @ X18 ) @ X19 )
      | ~ ( cP_3 @ X18 @ X19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_005,plain,
    ! [X18: $i,X19: $i] :
      ( ( cP_3 @ ( f @ X18 ) @ X19 )
      | ~ ( cP_3 @ X18 @ X19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_006,plain,
    ! [X18: $i,X19: $i] :
      ( ( cP_3 @ ( f @ X18 ) @ X19 )
      | ~ ( cP_3 @ X18 @ X19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ~ ( cP_3 @ ( f @ X12 ) @ X13 )
      | ~ ( cP_3 @ ( f @ X14 ) @ X15 )
      | ~ ( cQ_3 @ X14 @ X12 @ X16 )
      | ~ ( cP_3 @ ( f @ X16 ) @ X17 )
      | ( cQ_4 @ X15 @ X13 @ X17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_3 @ X1 @ X0 )
      | ( cQ_4 @ X3 @ X0 @ X2 )
      | ~ ( cP_3 @ ( f @ X4 ) @ X2 )
      | ~ ( cQ_3 @ X5 @ X1 @ X4 )
      | ~ ( cP_3 @ ( f @ X5 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_3 @ X1 @ X0 )
      | ~ ( cP_3 @ ( f @ X3 ) @ X2 )
      | ~ ( cQ_3 @ X3 @ X4 @ X1 )
      | ( cQ_4 @ X2 @ X5 @ X0 )
      | ~ ( cP_3 @ X4 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl41]) ).

thf(zip_derived_cl139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_3 @ X1 @ X0 )
      | ~ ( cP_3 @ X3 @ X2 )
      | ( cQ_4 @ X0 @ X2 @ X4 )
      | ~ ( cQ_3 @ X1 @ X3 @ X5 )
      | ~ ( cP_3 @ X5 @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl101]) ).

thf(zip_derived_cl378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cP_2 @ c @ X0 )
      | ~ ( cP_3 @ X0 @ X1 )
      | ( cQ_4 @ X3 @ X2 @ X1 )
      | ~ ( cP_3 @ b @ X2 )
      | ~ ( cP_3 @ a @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl375,zip_derived_cl139]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_3 @ a @ X0 )
      | ~ ( cP_3 @ b @ X1 )
      | ( cQ_4 @ X0 @ X1 @ X2 )
      | ~ ( cP_3 @ c @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl378]) ).

thf(zip_derived_cl2_007,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_4 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_4 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_008,plain,
    ! [X9: $i,X10: $i] :
      ( ( cP_4 @ ( f @ X9 ) @ X10 )
      | ~ ( cP_4 @ X9 @ X10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( cP_4 @ ( f @ X3 ) @ X4 )
      | ~ ( cP_4 @ ( f @ X5 ) @ X6 )
      | ~ ( cQ_4 @ X5 @ X3 @ X7 )
      | ~ ( cP_4 @ ( f @ X7 ) @ X8 )
      | ( cQ_5 @ X6 @ X4 @ X8 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ~ ( cQ_5 @ X0 @ X1 @ X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ! [X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( cP_4 @ ( f @ X7 ) @ X8 )
      | ~ ( cQ_4 @ X5 @ X3 @ X7 )
      | ~ ( cP_4 @ ( f @ X5 ) @ X6 )
      | ~ ( cP_4 @ ( f @ X3 ) @ X4 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_4 @ X1 @ X0 )
      | ~ ( cP_4 @ ( f @ X3 ) @ X2 )
      | ~ ( cP_4 @ ( f @ X5 ) @ X4 )
      | ~ ( cQ_4 @ X5 @ X3 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl26]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_4 @ X1 @ X0 )
      | ~ ( cQ_4 @ X3 @ X1 @ X2 )
      | ~ ( cP_4 @ ( f @ X3 ) @ X4 )
      | ~ ( cP_4 @ X2 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl27]) ).

thf(zip_derived_cl424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_3 @ c @ X0 )
      | ~ ( cP_3 @ b @ X1 )
      | ~ ( cP_3 @ a @ X2 )
      | ~ ( cP_4 @ X0 @ X3 )
      | ~ ( cP_4 @ ( f @ X2 ) @ X4 )
      | ~ ( cP_4 @ X1 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl57]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( cP_4 @ X1 @ X0 )
      | ~ ( cP_4 @ X3 @ X2 )
      | ~ ( cP_4 @ X5 @ X4 )
      | ~ ( cP_3 @ a @ X1 )
      | ~ ( cP_3 @ b @ X3 )
      | ~ ( cP_3 @ c @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl424]) ).

thf(zip_derived_cl600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cP_3 @ c @ X0 )
      | ~ ( cP_3 @ b @ X1 )
      | ~ ( cP_3 @ a @ a )
      | ~ ( cP_4 @ X0 @ X2 )
      | ~ ( cP_4 @ X1 @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl579]) ).

thf(zip_derived_cl12,plain,
    cP_3 @ a @ a,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl614,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( cP_3 @ c @ X0 )
      | ~ ( cP_3 @ b @ X1 )
      | ~ ( cP_4 @ X0 @ X2 )
      | ~ ( cP_4 @ X1 @ X3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl600,zip_derived_cl12]) ).

thf(zip_derived_cl616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cP_4 @ X1 @ X0 )
      | ~ ( cP_4 @ c @ X2 )
      | ~ ( cP_3 @ b @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl614]) ).

thf(zip_derived_cl619,plain,
    ! [X0: $i] :
      ( ~ ( cP_3 @ b @ b )
      | ~ ( cP_4 @ c @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl616]) ).

thf(zip_derived_cl11,plain,
    cP_3 @ b @ b,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    ! [X0: $i] :
      ~ ( cP_4 @ c @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl619,zip_derived_cl11]) ).

thf(zip_derived_cl632,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl630]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO387^5 : 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.aU2T9HNGH9 true
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 02:54:52 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.78/0.87  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 3.08/1.08  % Solved by lams/40_c_ic.sh.
% 3.08/1.08  % done 430 iterations in 0.328s
% 3.08/1.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.08/1.08  % SZS output start Refutation
% See solution above
% 3.08/1.09  
% 3.08/1.09  
% 3.08/1.09  % Terminating...
% 3.64/1.17  % Runner terminated.
% 3.64/1.18  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------