TSTP Solution File: LCL656+1.005 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL656+1.005 : 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.cObgsNCrXl true

% Computer : n017.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 09:01:11 EDT 2023

% Result   : Theorem 7.93s 1.82s
% Output   : Refutation 7.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   96 (  38 unt;  17 typ;   0 def)
%            Number of atoms       :  491 (   0 equ;   0 cnn)
%            Maximal formula atoms :  129 (   6 avg)
%            Number of connectives : 1553 ( 377   ~; 304   |; 108   &; 764   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;   2 con; 0-2 aty)
%            Number of variables   :  190 (   0   ^; 188   !;   2   ?; 190   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p4_type,type,
    p4: $i > $o ).

thf(p105_type,type,
    p105: $i > $o ).

thf(p103_type,type,
    p103: $i > $o ).

thf(p104_type,type,
    p104: $i > $o ).

thf(p1_type,type,
    p1: $i > $o ).

thf(sk__1_type,type,
    sk__1: $i > $i ).

thf(p2_type,type,
    p2: $i > $o ).

thf(p5_type,type,
    p5: $i > $o ).

thf(p102_type,type,
    p102: $i > $o ).

thf(p100_type,type,
    p100: $i > $o ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p101_type,type,
    p101: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(p106_type,type,
    p106: $i > $o ).

thf(p3_type,type,
    p3: $i > $o ).

thf(p6_type,type,
    p6: $i > $o ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_004,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_006,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_007,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_008,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ( p3 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
          | ~ ( ! [Y: $i] :
                  ( ! [X: $i] :
                      ( ! [Y: $i] :
                          ( ! [X: $i] :
                              ( ! [Y: $i] :
                                  ( ( ( ~ ( p101 @ Y )
                                      | ( p100 @ Y ) )
                                    & ( ~ ( p102 @ Y )
                                      | ( p101 @ Y ) )
                                    & ( ~ ( p103 @ Y )
                                      | ( p102 @ Y ) )
                                    & ( ~ ( p104 @ Y )
                                      | ( p103 @ Y ) )
                                    & ( ~ ( p105 @ Y )
                                      | ( p104 @ Y ) )
                                    & ( ~ ( p106 @ Y )
                                      | ( p105 @ Y ) )
                                    & ( ~ ( p100 @ Y )
                                      | ( ( ~ ( p1 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p100 @ X )
                                              | ( p1 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p1 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p100 @ X )
                                              | ~ ( p1 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( p101 @ Y )
                                      | ( ( ~ ( p2 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p101 @ X )
                                              | ( p2 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p2 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p101 @ X )
                                              | ~ ( p2 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( p102 @ Y )
                                      | ( ( ~ ( p3 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p102 @ X )
                                              | ( p3 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p3 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p102 @ X )
                                              | ~ ( p3 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( p103 @ Y )
                                      | ( ( ~ ( p4 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p103 @ X )
                                              | ( p4 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p4 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p103 @ X )
                                              | ~ ( p4 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( p104 @ Y )
                                      | ( ( ~ ( p5 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p104 @ X )
                                              | ( p5 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p5 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p104 @ X )
                                              | ~ ( p5 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( p105 @ Y )
                                      | ( ( ~ ( p6 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p105 @ X )
                                              | ( p6 @ X )
                                              | ~ ( r1 @ Y @ X ) ) )
                                        & ( ( p6 @ Y )
                                          | ! [X: $i] :
                                              ( ~ ( p105 @ X )
                                              | ~ ( p6 @ X )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                    & ( ~ ( ~ ( p101 @ Y )
                                          & ( p100 @ Y ) )
                                      | ( ~ ! [X: $i] :
                                              ( ~ ( ( p2 @ X )
                                                  & ~ ( p102 @ X )
                                                  & ( p101 @ X ) )
                                              | ~ ( r1 @ Y @ X ) )
                                        & ~ ! [X: $i] :
                                              ( ~ ( ~ ( p2 @ X )
                                                  & ~ ( p102 @ X )
                                                  & ( p101 @ X ) )
                                              | ~ ( r1 @ Y @ X ) ) ) )
                                    & ( ~ ( ~ ( p102 @ Y )
                                          & ( p101 @ Y ) )
                                      | ( ~ ! [X: $i] :
                                              ( ~ ( ( p3 @ X )
                                                  & ~ ( p103 @ X )
                                                  & ( p102 @ X ) )
                                              | ~ ( r1 @ Y @ X ) )
                                        & ~ ! [X: $i] :
                                              ( ~ ( ~ ( p3 @ X )
                                                  & ~ ( p103 @ X )
                                                  & ( p102 @ X ) )
                                              | ~ ( r1 @ Y @ X ) ) ) )
                                    & ( ~ ( ~ ( p103 @ Y )
                                          & ( p102 @ Y ) )
                                      | ( ~ ! [X: $i] :
                                              ( ~ ( ( p4 @ X )
                                                  & ~ ( p104 @ X )
                                                  & ( p103 @ X ) )
                                              | ~ ( r1 @ Y @ X ) )
                                        & ~ ! [X: $i] :
                                              ( ~ ( ~ ( p4 @ X )
                                                  & ~ ( p104 @ X )
                                                  & ( p103 @ X ) )
                                              | ~ ( r1 @ Y @ X ) ) ) )
                                    & ( ~ ( ~ ( p104 @ Y )
                                          & ( p103 @ Y ) )
                                      | ( ~ ! [X: $i] :
                                              ( ~ ( ( p5 @ X )
                                                  & ~ ( p105 @ X )
                                                  & ( p104 @ X ) )
                                              | ~ ( r1 @ Y @ X ) )
                                        & ~ ! [X: $i] :
                                              ( ~ ( ~ ( p5 @ X )
                                                  & ~ ( p105 @ X )
                                                  & ( p104 @ X ) )
                                              | ~ ( r1 @ Y @ X ) ) ) )
                                    & ( ~ ( ~ ( p105 @ Y )
                                          & ( p104 @ Y ) )
                                      | ( ~ ! [X: $i] :
                                              ( ~ ( ( p6 @ X )
                                                  & ~ ( p106 @ X )
                                                  & ( p105 @ X ) )
                                              | ~ ( r1 @ Y @ X ) )
                                        & ~ ! [X: $i] :
                                              ( ~ ( ~ ( p6 @ X )
                                                  & ~ ( p106 @ X )
                                                  & ( p105 @ X ) )
                                              | ~ ( r1 @ Y @ X ) ) ) ) )
                                  | ~ ( r1 @ X @ Y ) )
                              | ~ ( r1 @ Y @ X ) )
                          | ~ ( r1 @ X @ Y ) )
                      | ~ ( r1 @ Y @ X ) )
                  | ~ ( r1 @ X @ Y ) )
              & ~ ( p101 @ X )
              & ( p100 @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ! [Y: $i] :
              ( ! [X: $i] :
                  ( ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ! [Y: $i] :
                              ( ( p3 @ Y )
                              | ~ ( r1 @ X @ Y ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) )
        | ~ ( ! [Y: $i] :
                ( ! [X: $i] :
                    ( ! [Y: $i] :
                        ( ! [X: $i] :
                            ( ! [Y: $i] :
                                ( ( ( ~ ( p101 @ Y )
                                    | ( p100 @ Y ) )
                                  & ( ~ ( p102 @ Y )
                                    | ( p101 @ Y ) )
                                  & ( ~ ( p103 @ Y )
                                    | ( p102 @ Y ) )
                                  & ( ~ ( p104 @ Y )
                                    | ( p103 @ Y ) )
                                  & ( ~ ( p105 @ Y )
                                    | ( p104 @ Y ) )
                                  & ( ~ ( p106 @ Y )
                                    | ( p105 @ Y ) )
                                  & ( ~ ( p100 @ Y )
                                    | ( ( ~ ( p1 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p100 @ X )
                                            | ( p1 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p1 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p100 @ X )
                                            | ~ ( p1 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( p101 @ Y )
                                    | ( ( ~ ( p2 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p101 @ X )
                                            | ( p2 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p2 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p101 @ X )
                                            | ~ ( p2 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( p102 @ Y )
                                    | ( ( ~ ( p3 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p102 @ X )
                                            | ( p3 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p3 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p102 @ X )
                                            | ~ ( p3 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( p103 @ Y )
                                    | ( ( ~ ( p4 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p103 @ X )
                                            | ( p4 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p4 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p103 @ X )
                                            | ~ ( p4 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( p104 @ Y )
                                    | ( ( ~ ( p5 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p104 @ X )
                                            | ( p5 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p5 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p104 @ X )
                                            | ~ ( p5 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( p105 @ Y )
                                    | ( ( ~ ( p6 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p105 @ X )
                                            | ( p6 @ X )
                                            | ~ ( r1 @ Y @ X ) ) )
                                      & ( ( p6 @ Y )
                                        | ! [X: $i] :
                                            ( ~ ( p105 @ X )
                                            | ~ ( p6 @ X )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                  & ( ~ ( ~ ( p101 @ Y )
                                        & ( p100 @ Y ) )
                                    | ( ~ ! [X: $i] :
                                            ( ~ ( ( p2 @ X )
                                                & ~ ( p102 @ X )
                                                & ( p101 @ X ) )
                                            | ~ ( r1 @ Y @ X ) )
                                      & ~ ! [X: $i] :
                                            ( ~ ( ~ ( p2 @ X )
                                                & ~ ( p102 @ X )
                                                & ( p101 @ X ) )
                                            | ~ ( r1 @ Y @ X ) ) ) )
                                  & ( ~ ( ~ ( p102 @ Y )
                                        & ( p101 @ Y ) )
                                    | ( ~ ! [X: $i] :
                                            ( ~ ( ( p3 @ X )
                                                & ~ ( p103 @ X )
                                                & ( p102 @ X ) )
                                            | ~ ( r1 @ Y @ X ) )
                                      & ~ ! [X: $i] :
                                            ( ~ ( ~ ( p3 @ X )
                                                & ~ ( p103 @ X )
                                                & ( p102 @ X ) )
                                            | ~ ( r1 @ Y @ X ) ) ) )
                                  & ( ~ ( ~ ( p103 @ Y )
                                        & ( p102 @ Y ) )
                                    | ( ~ ! [X: $i] :
                                            ( ~ ( ( p4 @ X )
                                                & ~ ( p104 @ X )
                                                & ( p103 @ X ) )
                                            | ~ ( r1 @ Y @ X ) )
                                      & ~ ! [X: $i] :
                                            ( ~ ( ~ ( p4 @ X )
                                                & ~ ( p104 @ X )
                                                & ( p103 @ X ) )
                                            | ~ ( r1 @ Y @ X ) ) ) )
                                  & ( ~ ( ~ ( p104 @ Y )
                                        & ( p103 @ Y ) )
                                    | ( ~ ! [X: $i] :
                                            ( ~ ( ( p5 @ X )
                                                & ~ ( p105 @ X )
                                                & ( p104 @ X ) )
                                            | ~ ( r1 @ Y @ X ) )
                                      & ~ ! [X: $i] :
                                            ( ~ ( ~ ( p5 @ X )
                                                & ~ ( p105 @ X )
                                                & ( p104 @ X ) )
                                            | ~ ( r1 @ Y @ X ) ) ) )
                                  & ( ~ ( ~ ( p105 @ Y )
                                        & ( p104 @ Y ) )
                                    | ( ~ ! [X: $i] :
                                            ( ~ ( ( p6 @ X )
                                                & ~ ( p106 @ X )
                                                & ( p105 @ X ) )
                                            | ~ ( r1 @ Y @ X ) )
                                      & ~ ! [X: $i] :
                                            ( ~ ( ~ ( p6 @ X )
                                                & ~ ( p106 @ X )
                                                & ( p105 @ X ) )
                                            | ~ ( r1 @ Y @ X ) ) ) ) )
                                | ~ ( r1 @ X @ Y ) )
                            | ~ ( r1 @ Y @ X ) )
                        | ~ ( r1 @ X @ Y ) )
                    | ~ ( r1 @ Y @ X ) )
                | ~ ( r1 @ X @ Y ) )
            & ~ ( p101 @ X )
            & ( p100 @ X ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X2 @ X3 )
      | ( r1 @ X4 @ ( sk__1 @ X4 ) )
      | ( p101 @ X4 )
      | ~ ( p100 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X2 @ X1 )
      | ( r1 @ X3 @ ( sk__1 @ X3 ) )
      | ( p101 @ X3 )
      | ~ ( p100 @ X3 )
      | ~ ( r1 @ X1 @ X3 )
      | ~ ( r1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X2 @ ( sk__1 @ X2 ) )
      | ( p101 @ X2 )
      | ~ ( p100 @ X2 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl209]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( r1 @ X1 @ ( sk__1 @ X1 ) )
      | ( p101 @ X1 )
      | ~ ( p100 @ X1 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl215]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl216]) ).

thf(zip_derived_cl218,plain,
    ( ( r1 @ sk_ @ ( sk__1 @ sk_ ) )
    | ( p101 @ sk_ )
    | ~ ( p100 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl217]) ).

thf(zip_derived_cl59,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl219,plain,
    r1 @ sk_ @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_011,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X2 @ X3 )
      | ( r1 @ X4 @ ( sk__4 @ X4 ) )
      | ( p102 @ X4 )
      | ~ ( p101 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X2 @ X1 )
      | ( r1 @ X3 @ ( sk__4 @ X3 ) )
      | ( p102 @ X3 )
      | ~ ( p101 @ X3 )
      | ~ ( r1 @ X1 @ X3 )
      | ~ ( r1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).

thf(zip_derived_cl837,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( r1 @ X2 @ ( sk__4 @ X2 ) )
      | ( p102 @ X2 )
      | ~ ( p101 @ X2 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl375]) ).

thf(zip_derived_cl1650,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( r1 @ X1 @ ( sk__4 @ X1 ) )
      | ( p102 @ X1 )
      | ~ ( p101 @ X1 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl837]) ).

thf(zip_derived_cl1653,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__4 @ X0 ) )
      | ( p102 @ X0 )
      | ~ ( p101 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1650]) ).

thf(zip_derived_cl1657,plain,
    ( ( r1 @ ( sk__1 @ sk_ ) @ ( sk__4 @ ( sk__1 @ sk_ ) ) )
    | ( p102 @ ( sk__1 @ sk_ ) )
    | ~ ( p101 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl1653]) ).

thf(zip_derived_cl0_013,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_014,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_015,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_016,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_017,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X2 @ X3 )
      | ( p101 @ ( sk__1 @ X4 ) )
      | ( p101 @ X4 )
      | ~ ( p100 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X2 @ X1 )
      | ( p101 @ ( sk__1 @ X3 ) )
      | ( p101 @ X3 )
      | ~ ( p100 @ X3 )
      | ~ ( r1 @ X1 @ X3 )
      | ~ ( r1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl22]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p101 @ ( sk__1 @ X2 ) )
      | ( p101 @ X2 )
      | ~ ( p100 @ X2 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl142]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p101 @ ( sk__1 @ X1 ) )
      | ( p101 @ X1 )
      | ~ ( p100 @ X1 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl143]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i] :
      ( ( p101 @ ( sk__1 @ X0 ) )
      | ( p101 @ X0 )
      | ~ ( p100 @ X0 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl144]) ).

thf(zip_derived_cl147,plain,
    ( ( p101 @ ( sk__1 @ sk_ ) )
    | ( p101 @ sk_ )
    | ~ ( p100 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl146]) ).

thf(zip_derived_cl59_018,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60_019,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    p101 @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl1660,plain,
    ( ( r1 @ ( sk__1 @ sk_ ) @ ( sk__4 @ ( sk__1 @ sk_ ) ) )
    | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1657,zip_derived_cl148]) ).

thf(zip_derived_cl219_020,plain,
    r1 @ sk_ @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl0_021,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_022,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_023,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl61,plain,
    ! [X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ~ ( r1 @ X17 @ X18 )
      | ~ ( r1 @ X19 @ X20 )
      | ( p3 @ X21 )
      | ~ ( r1 @ X20 @ X21 )
      | ~ ( r1 @ X18 @ X19 )
      | ~ ( r1 @ sk_ @ X17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X2 @ X1 )
      | ( p3 @ X3 )
      | ~ ( r1 @ X1 @ X3 )
      | ~ ( r1 @ X0 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl61]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ( p3 @ X2 )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl62]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ( p3 @ X1 )
      | ~ ( r1 @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl63]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i] :
      ( ( p3 @ X0 )
      | ~ ( r1 @ ( sk__1 @ sk_ ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl219,zip_derived_cl64]) ).

thf(zip_derived_cl1688,plain,
    ( ( p102 @ ( sk__1 @ sk_ ) )
    | ( p3 @ ( sk__4 @ ( sk__1 @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1660,zip_derived_cl247]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X2 @ X3 )
      | ~ ( p3 @ ( sk__4 @ X4 ) )
      | ( p102 @ X4 )
      | ~ ( p101 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( p102 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( p102 @ ( sk__1 @ sk_ ) )
      | ~ ( p101 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X2 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1688,zip_derived_cl32]) ).

thf(zip_derived_cl148_024,plain,
    p101 @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl1811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( p102 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( p102 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X2 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1810,zip_derived_cl148]) ).

thf(zip_derived_cl1812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ sk_ @ X1 )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ X2 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X3 @ X2 )
      | ~ ( r1 @ X1 @ X0 )
      | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1811]) ).

thf(zip_derived_cl2327,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X2 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X0 @ X2 )
      | ~ ( r1 @ sk_ @ X1 )
      | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1812]) ).

thf(zip_derived_cl2330,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ X0 )
      | ~ ( r1 @ X1 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ X0 @ X1 )
      | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2327]) ).

thf(zip_derived_cl2333,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 @ ( sk__1 @ sk_ ) )
      | ~ ( r1 @ sk_ @ X0 )
      | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2330]) ).

thf(zip_derived_cl2336,plain,
    ( ~ ( r1 @ sk_ @ ( sk__1 @ sk_ ) )
    | ( p102 @ ( sk__1 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2333]) ).

thf(zip_derived_cl219_025,plain,
    r1 @ sk_ @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl218,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl2339,plain,
    p102 @ ( sk__1 @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl2336,zip_derived_cl219]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( r1 @ X0 @ X1 )
      | ~ ( r1 @ X2 @ X3 )
      | ~ ( p102 @ ( sk__1 @ X4 ) )
      | ( p101 @ X4 )
      | ~ ( p100 @ X4 )
      | ~ ( r1 @ X3 @ X4 )
      | ~ ( r1 @ X1 @ X2 )
      | ~ ( r1 @ sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2344,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ( p101 @ sk_ )
      | ~ ( p100 @ sk_ )
      | ~ ( r1 @ X2 @ sk_ )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2339,zip_derived_cl21]) ).

thf(zip_derived_cl59_026,plain,
    ~ ( p101 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60_027,plain,
    p100 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X3 @ X2 )
      | ~ ( r1 @ X2 @ sk_ )
      | ~ ( r1 @ X0 @ X3 )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2344,zip_derived_cl59,zip_derived_cl60]) ).

thf(zip_derived_cl2357,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk_ @ sk_ )
      | ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X0 @ sk_ )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2345]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl2358,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X1 @ X0 )
      | ~ ( r1 @ X0 @ sk_ )
      | ~ ( r1 @ sk_ @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2357,zip_derived_cl0]) ).

thf(zip_derived_cl2362,plain,
    ( ~ ( r1 @ sk_ @ sk_ )
    | ~ ( r1 @ sk_ @ sk_ ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl2358]) ).

thf(zip_derived_cl2364,plain,
    ~ ( r1 @ sk_ @ sk_ ),
    inference(simplify,[status(thm)],[zip_derived_cl2362]) ).

thf(zip_derived_cl0_029,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl2365,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2364,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cObgsNCrXl true
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Fri Aug 25 06:04:10 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.21/0.69  % Total configuration time : 435
% 0.21/0.69  % Estimated wc time : 1092
% 0.21/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.97/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.29/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.93/1.82  % Solved by fo/fo13.sh.
% 7.93/1.82  % done 980 iterations in 1.019s
% 7.93/1.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.93/1.82  % SZS output start Refutation
% See solution above
% 7.93/1.82  
% 7.93/1.82  
% 7.93/1.82  % Terminating...
% 8.59/1.89  % Runner terminated.
% 8.59/1.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------