TSTP Solution File: LCL656+1.010 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RaC9mOqKKY true
% Computer : n029.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 109.45s 16.22s
% Output : Refutation 109.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 31
% Syntax : Number of formulae : 255 ( 99 unt; 29 typ; 0 def)
% Number of atoms : 1602 ( 0 equ; 0 cnn)
% Maximal formula atoms : 244 ( 7 avg)
% Number of connectives : 5419 (1274 ~;1168 |; 208 &;2769 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 29 usr; 2 con; 0-2 aty)
% Number of variables : 790 ( 0 ^; 788 !; 2 ?; 790 :)
% Comments :
%------------------------------------------------------------------------------
thf(p101_type,type,
p101: $i > $o ).
thf(p11_type,type,
p11: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(p111_type,type,
p111: $i > $o ).
thf(p110_type,type,
p110: $i > $o ).
thf(p9_type,type,
p9: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(p107_type,type,
p107: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p105_type,type,
p105: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p103_type,type,
p103: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p109_type,type,
p109: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p7_type,type,
p7: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(p4_type,type,
p4: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(p8_type,type,
p8: $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(p10_type,type,
p10: $i > $o ).
thf(p108_type,type,
p108: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
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(main,conjecture,
~ ? [X: $i] :
~ ( ~ ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( 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] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( ( ~ ( p101 @ X )
| ( p100 @ X ) )
& ( ~ ( p102 @ X )
| ( p101 @ X ) )
& ( ~ ( p103 @ X )
| ( p102 @ X ) )
& ( ~ ( p104 @ X )
| ( p103 @ X ) )
& ( ~ ( p105 @ X )
| ( p104 @ X ) )
& ( ~ ( p106 @ X )
| ( p105 @ X ) )
& ( ~ ( p107 @ X )
| ( p106 @ X ) )
& ( ~ ( p108 @ X )
| ( p107 @ X ) )
& ( ~ ( p109 @ X )
| ( p108 @ X ) )
& ( ~ ( p110 @ X )
| ( p109 @ X ) )
& ( ~ ( p111 @ X )
| ( p110 @ X ) )
& ( ~ ( p100 @ X )
| ( ( ~ ( p1 @ X )
| ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p1 @ X )
| ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p101 @ X )
| ( ( ~ ( p2 @ X )
| ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p2 @ X )
| ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p102 @ X )
| ( ( ~ ( p3 @ X )
| ! [Y: $i] :
( ~ ( p102 @ Y )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p3 @ X )
| ! [Y: $i] :
( ~ ( p102 @ Y )
| ~ ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p103 @ X )
| ( ( ~ ( p4 @ X )
| ! [Y: $i] :
( ~ ( p103 @ Y )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p4 @ X )
| ! [Y: $i] :
( ~ ( p103 @ Y )
| ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p104 @ X )
| ( ( ~ ( p5 @ X )
| ! [Y: $i] :
( ~ ( p104 @ Y )
| ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p5 @ X )
| ! [Y: $i] :
( ~ ( p104 @ Y )
| ~ ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p105 @ X )
| ( ( ~ ( p6 @ X )
| ! [Y: $i] :
( ~ ( p105 @ Y )
| ( p6 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p6 @ X )
| ! [Y: $i] :
( ~ ( p105 @ Y )
| ~ ( p6 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p106 @ X )
| ( ( ~ ( p7 @ X )
| ! [Y: $i] :
( ~ ( p106 @ Y )
| ( p7 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p7 @ X )
| ! [Y: $i] :
( ~ ( p106 @ Y )
| ~ ( p7 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p107 @ X )
| ( ( ~ ( p8 @ X )
| ! [Y: $i] :
( ~ ( p107 @ Y )
| ( p8 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p8 @ X )
| ! [Y: $i] :
( ~ ( p107 @ Y )
| ~ ( p8 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p108 @ X )
| ( ( ~ ( p9 @ X )
| ! [Y: $i] :
( ~ ( p108 @ Y )
| ( p9 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p9 @ X )
| ! [Y: $i] :
( ~ ( p108 @ Y )
| ~ ( p9 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p109 @ X )
| ( ( ~ ( p10 @ X )
| ! [Y: $i] :
( ~ ( p109 @ Y )
| ( p10 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p10 @ X )
| ! [Y: $i] :
( ~ ( p109 @ Y )
| ~ ( p10 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p110 @ X )
| ( ( ~ ( p11 @ X )
| ! [Y: $i] :
( ~ ( p110 @ Y )
| ( p11 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p11 @ X )
| ! [Y: $i] :
( ~ ( p110 @ Y )
| ~ ( p11 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( ~ ( p101 @ X )
& ( p100 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p102 @ X )
& ( p101 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p103 @ X )
& ( p102 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p104 @ X )
& ( p103 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p105 @ X )
& ( p104 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p106 @ X )
& ( p105 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p7 @ Y )
& ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p7 @ Y )
& ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p107 @ X )
& ( p106 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p8 @ Y )
& ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p8 @ Y )
& ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p108 @ X )
& ( p107 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p9 @ Y )
& ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p9 @ Y )
& ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p109 @ X )
& ( p108 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p10 @ Y )
& ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p10 @ Y )
& ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p110 @ X )
& ( p109 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p11 @ Y )
& ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p11 @ Y )
& ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( 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] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( p5 @ X )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( 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] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ! [Y: $i] :
( ! [X: $i] :
( ( ( ~ ( p101 @ X )
| ( p100 @ X ) )
& ( ~ ( p102 @ X )
| ( p101 @ X ) )
& ( ~ ( p103 @ X )
| ( p102 @ X ) )
& ( ~ ( p104 @ X )
| ( p103 @ X ) )
& ( ~ ( p105 @ X )
| ( p104 @ X ) )
& ( ~ ( p106 @ X )
| ( p105 @ X ) )
& ( ~ ( p107 @ X )
| ( p106 @ X ) )
& ( ~ ( p108 @ X )
| ( p107 @ X ) )
& ( ~ ( p109 @ X )
| ( p108 @ X ) )
& ( ~ ( p110 @ X )
| ( p109 @ X ) )
& ( ~ ( p111 @ X )
| ( p110 @ X ) )
& ( ~ ( p100 @ X )
| ( ( ~ ( p1 @ X )
| ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p1 @ X )
| ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p101 @ X )
| ( ( ~ ( p2 @ X )
| ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p2 @ X )
| ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p102 @ X )
| ( ( ~ ( p3 @ X )
| ! [Y: $i] :
( ~ ( p102 @ Y )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p3 @ X )
| ! [Y: $i] :
( ~ ( p102 @ Y )
| ~ ( p3 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p103 @ X )
| ( ( ~ ( p4 @ X )
| ! [Y: $i] :
( ~ ( p103 @ Y )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p4 @ X )
| ! [Y: $i] :
( ~ ( p103 @ Y )
| ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p104 @ X )
| ( ( ~ ( p5 @ X )
| ! [Y: $i] :
( ~ ( p104 @ Y )
| ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p5 @ X )
| ! [Y: $i] :
( ~ ( p104 @ Y )
| ~ ( p5 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p105 @ X )
| ( ( ~ ( p6 @ X )
| ! [Y: $i] :
( ~ ( p105 @ Y )
| ( p6 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p6 @ X )
| ! [Y: $i] :
( ~ ( p105 @ Y )
| ~ ( p6 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p106 @ X )
| ( ( ~ ( p7 @ X )
| ! [Y: $i] :
( ~ ( p106 @ Y )
| ( p7 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p7 @ X )
| ! [Y: $i] :
( ~ ( p106 @ Y )
| ~ ( p7 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p107 @ X )
| ( ( ~ ( p8 @ X )
| ! [Y: $i] :
( ~ ( p107 @ Y )
| ( p8 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p8 @ X )
| ! [Y: $i] :
( ~ ( p107 @ Y )
| ~ ( p8 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p108 @ X )
| ( ( ~ ( p9 @ X )
| ! [Y: $i] :
( ~ ( p108 @ Y )
| ( p9 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p9 @ X )
| ! [Y: $i] :
( ~ ( p108 @ Y )
| ~ ( p9 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p109 @ X )
| ( ( ~ ( p10 @ X )
| ! [Y: $i] :
( ~ ( p109 @ Y )
| ( p10 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p10 @ X )
| ! [Y: $i] :
( ~ ( p109 @ Y )
| ~ ( p10 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( p110 @ X )
| ( ( ~ ( p11 @ X )
| ! [Y: $i] :
( ~ ( p110 @ Y )
| ( p11 @ Y )
| ~ ( r1 @ X @ Y ) ) )
& ( ( p11 @ X )
| ! [Y: $i] :
( ~ ( p110 @ Y )
| ~ ( p11 @ Y )
| ~ ( r1 @ X @ Y ) ) ) ) )
& ( ~ ( ~ ( p101 @ X )
& ( p100 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p102 @ X )
& ( p101 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p103 @ X )
& ( p102 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p104 @ X )
& ( p103 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p105 @ X )
& ( p104 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p106 @ X )
& ( p105 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p7 @ Y )
& ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p7 @ Y )
& ~ ( p107 @ Y )
& ( p106 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p107 @ X )
& ( p106 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p8 @ Y )
& ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p8 @ Y )
& ~ ( p108 @ Y )
& ( p107 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p108 @ X )
& ( p107 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p9 @ Y )
& ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p9 @ Y )
& ~ ( p109 @ Y )
& ( p108 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p109 @ X )
& ( p108 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p10 @ Y )
& ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p10 @ Y )
& ~ ( p110 @ Y )
& ( p109 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) )
& ( ~ ( ~ ( p110 @ X )
& ( p109 @ X ) )
| ( ~ ! [Y: $i] :
( ~ ( ( p11 @ Y )
& ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ~ ( p11 @ Y )
& ~ ( p111 @ Y )
& ( p110 @ Y ) )
| ~ ( r1 @ X @ Y ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( 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_cl76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( r1 @ X9 @ ( sk__2 @ X9 ) )
| ( p101 @ X9 )
| ~ ( p100 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ( r1 @ X7 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl0_002,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ( r1 @ X7 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2199,zip_derived_cl0]) ).
thf(zip_derived_cl8080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2200]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl8081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8080,zip_derived_cl0]) ).
thf(zip_derived_cl8087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8081]) ).
thf(zip_derived_cl0_004,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl8088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ( r1 @ X3 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8087,zip_derived_cl0]) ).
thf(zip_derived_cl8093,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl8088]) ).
thf(zip_derived_cl0_005,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl8094,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8093,zip_derived_cl0]) ).
thf(zip_derived_cl8095,plain,
! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( p100 @ X0 )
| ( p101 @ X0 )
| ( r1 @ X0 @ ( sk__2 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8094]) ).
thf(zip_derived_cl8096,plain,
( ( r1 @ sk_ @ ( sk__2 @ sk_ ) )
| ( p101 @ sk_ )
| ~ ( p100 @ sk_ ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8095]) ).
thf(zip_derived_cl114,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl115,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8097,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( r1 @ X9 @ ( sk__3 @ X9 ) )
| ( p102 @ X9 )
| ~ ( p101 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ( r1 @ X7 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl0_006,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ( r1 @ X7 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2090,zip_derived_cl0]) ).
thf(zip_derived_cl7947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2091]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7947,zip_derived_cl0]) ).
thf(zip_derived_cl7954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ( r1 @ X3 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7948]) ).
thf(zip_derived_cl0_008,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ( r1 @ X3 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7954,zip_derived_cl0]) ).
thf(zip_derived_cl7960,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7955]) ).
thf(zip_derived_cl0_009,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7961,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7960,zip_derived_cl0]) ).
thf(zip_derived_cl8383,plain,
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( p101 @ ( sk__2 @ sk_ ) )
| ( p102 @ ( sk__2 @ sk_ ) )
| ( r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8097,zip_derived_cl7961]) ).
thf(zip_derived_cl0_010,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( p101 @ ( sk__2 @ X9 ) )
| ( p101 @ X9 )
| ~ ( p100 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ( p101 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ( p101 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2122,zip_derived_cl0]) ).
thf(zip_derived_cl6786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p101 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2123]) ).
thf(zip_derived_cl0_012,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p101 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6786,zip_derived_cl0]) ).
thf(zip_derived_cl6793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ( p101 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6787]) ).
thf(zip_derived_cl0_013,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ( p101 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6793,zip_derived_cl0]) ).
thf(zip_derived_cl6799,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( p101 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6794]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6800,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p101 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6799,zip_derived_cl0]) ).
thf(zip_derived_cl6802,plain,
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ( p101 @ ( sk__2 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6800]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl115_016,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_017,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6803,plain,
p101 @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl6802,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ~ ( p102 @ ( sk__2 @ X9 ) )
| ( p101 @ X9 )
| ~ ( p100 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ~ ( p102 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl0_018,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p100 @ X7 )
| ( p101 @ X7 )
| ~ ( p102 @ ( sk__2 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2134,zip_derived_cl0]) ).
thf(zip_derived_cl4444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p102 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2135]) ).
thf(zip_derived_cl0_019,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p102 @ ( sk__2 @ X4 ) )
| ( p101 @ X4 )
| ~ ( p100 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4444,zip_derived_cl0]) ).
thf(zip_derived_cl4451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ~ ( p102 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4445]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p100 @ X3 )
| ( p101 @ X3 )
| ~ ( p102 @ ( sk__2 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4451,zip_derived_cl0]) ).
thf(zip_derived_cl4457,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p102 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4452]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4458,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p102 @ ( sk__2 @ X0 ) )
| ( p101 @ X0 )
| ~ ( p100 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4457,zip_derived_cl0]) ).
thf(zip_derived_cl4460,plain,
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ )
| ~ ( p102 @ ( sk__2 @ sk_ ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4458]) ).
thf(zip_derived_cl0_022,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl115_023,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl114_024,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4461,plain,
~ ( p102 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4460,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl9371,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( r1 @ X9 @ ( sk__5 @ X9 ) )
| ( p103 @ X9 )
| ~ ( p102 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ( r1 @ X7 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ( r1 @ X7 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1862,zip_derived_cl0]) ).
thf(zip_derived_cl7745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1863]) ).
thf(zip_derived_cl0_026,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7745,zip_derived_cl0]) ).
thf(zip_derived_cl7752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ( r1 @ X3 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7746]) ).
thf(zip_derived_cl0_027,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ( r1 @ X3 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7752,zip_derived_cl0]) ).
thf(zip_derived_cl7758,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7753]) ).
thf(zip_derived_cl0_028,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7759,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7758,zip_derived_cl0]) ).
thf(zip_derived_cl10310,plain,
( ~ ( r1 @ sk_ @ ( sk__2 @ sk_ ) )
| ~ ( p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl7759]) ).
thf(zip_derived_cl8097_029,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl0_030,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( p102 @ ( sk__3 @ X9 ) )
| ( p102 @ X9 )
| ~ ( p101 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ( p102 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl0_031,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ( p102 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2013,zip_derived_cl0]) ).
thf(zip_derived_cl6640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p102 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2014]) ).
thf(zip_derived_cl0_032,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p102 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6640,zip_derived_cl0]) ).
thf(zip_derived_cl6647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ( p102 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6641]) ).
thf(zip_derived_cl0_033,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ( p102 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6647,zip_derived_cl0]) ).
thf(zip_derived_cl6653,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( p102 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6648]) ).
thf(zip_derived_cl0_034,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6654,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p102 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6653,zip_derived_cl0]) ).
thf(zip_derived_cl6655,plain,
! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( p101 @ X0 )
| ( p102 @ X0 )
| ( p102 @ ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6654]) ).
thf(zip_derived_cl8097_035,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl9070,plain,
( ( p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p102 @ ( sk__2 @ sk_ ) )
| ~ ( p101 @ ( sk__2 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl6655,zip_derived_cl8097]) ).
thf(zip_derived_cl4461_036,plain,
~ ( p102 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4460,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl6803_037,plain,
p101 @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl6802,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl9090,plain,
p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl9070,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl0_038,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ~ ( p103 @ ( sk__3 @ X9 ) )
| ( p102 @ X9 )
| ~ ( p101 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ~ ( p103 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl0_039,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p101 @ X7 )
| ( p102 @ X7 )
| ~ ( p103 @ ( sk__3 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2025,zip_derived_cl0]) ).
thf(zip_derived_cl4371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p103 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2026]) ).
thf(zip_derived_cl0_040,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p103 @ ( sk__3 @ X4 ) )
| ( p102 @ X4 )
| ~ ( p101 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4371,zip_derived_cl0]) ).
thf(zip_derived_cl4378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ~ ( p103 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4372]) ).
thf(zip_derived_cl0_041,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p101 @ X3 )
| ( p102 @ X3 )
| ~ ( p103 @ ( sk__3 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4378,zip_derived_cl0]) ).
thf(zip_derived_cl4384,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4379]) ).
thf(zip_derived_cl0_042,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4385,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ ( sk__3 @ X0 ) )
| ( p102 @ X0 )
| ~ ( p101 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4384,zip_derived_cl0]) ).
thf(zip_derived_cl4396,plain,
! [X0: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( p101 @ X0 )
| ( p102 @ X0 )
| ~ ( p103 @ ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4385]) ).
thf(zip_derived_cl8097_043,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl9045,plain,
( ~ ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p102 @ ( sk__2 @ sk_ ) )
| ~ ( p101 @ ( sk__2 @ sk_ ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl4396,zip_derived_cl8097]) ).
thf(zip_derived_cl4461_044,plain,
~ ( p102 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl4460,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl6803_045,plain,
p101 @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl6802,zip_derived_cl0,zip_derived_cl115,zip_derived_cl114]) ).
thf(zip_derived_cl9082,plain,
~ ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9045,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl10597,plain,
r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10310,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl9371_046,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl8097_047,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl0_048,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ~ ( p5 @ ( sk__8 @ X9 ) )
| ( p104 @ X9 )
| ~ ( p103 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p103 @ X7 )
| ( p104 @ X7 )
| ~ ( p5 @ ( sk__8 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl0_049,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p103 @ X7 )
| ( p104 @ X7 )
| ~ ( p5 @ ( sk__8 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1492,zip_derived_cl0]) ).
thf(zip_derived_cl2477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p5 @ ( sk__8 @ X4 ) )
| ( p104 @ X4 )
| ~ ( p103 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1493]) ).
thf(zip_derived_cl0_050,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p5 @ ( sk__8 @ X4 ) )
| ( p104 @ X4 )
| ~ ( p103 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2477,zip_derived_cl0]) ).
thf(zip_derived_cl2484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p103 @ X3 )
| ( p104 @ X3 )
| ~ ( p5 @ ( sk__8 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2478]) ).
thf(zip_derived_cl0_051,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl2485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p103 @ X3 )
| ( p104 @ X3 )
| ~ ( p5 @ ( sk__8 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2484,zip_derived_cl0]) ).
thf(zip_derived_cl2487,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p5 @ ( sk__8 @ X1 ) )
| ( p104 @ X1 )
| ~ ( p103 @ X1 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2485]) ).
thf(zip_derived_cl8637,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__2 @ sk_ ) @ X0 )
| ~ ( p103 @ X1 )
| ( p104 @ X1 )
| ~ ( p5 @ ( sk__8 @ X1 ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8097,zip_derived_cl2487]) ).
thf(zip_derived_cl13659,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ X0 )
| ~ ( p5 @ ( sk__8 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl8637]) ).
thf(zip_derived_cl13679,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) )
| ~ ( p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10597,zip_derived_cl13659]) ).
thf(zip_derived_cl9371_052,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( p103 @ ( sk__5 @ X9 ) )
| ( p103 @ X9 )
| ~ ( p102 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ( p103 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl0_053,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ( p103 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1775,zip_derived_cl0]) ).
thf(zip_derived_cl6349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p103 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1776]) ).
thf(zip_derived_cl0_054,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p103 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6349,zip_derived_cl0]) ).
thf(zip_derived_cl6356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ( p103 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6350]) ).
thf(zip_derived_cl0_055,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ( p103 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl6356,zip_derived_cl0]) ).
thf(zip_derived_cl6362,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ( p103 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl6357]) ).
thf(zip_derived_cl0_056,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl6363,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p103 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6362,zip_derived_cl0]) ).
thf(zip_derived_cl10279,plain,
( ~ ( r1 @ sk_ @ ( sk__2 @ sk_ ) )
| ~ ( p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl6363]) ).
thf(zip_derived_cl8097_057,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl9090_058,plain,
p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl9070,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl9082_059,plain,
~ ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9045,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl10566,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10279,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl9371_060,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ~ ( p104 @ ( sk__5 @ X9 ) )
| ( p103 @ X9 )
| ~ ( p102 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ~ ( p104 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl0_061,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p102 @ X7 )
| ( p103 @ X7 )
| ~ ( p104 @ ( sk__5 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1807,zip_derived_cl0]) ).
thf(zip_derived_cl4067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p104 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1808]) ).
thf(zip_derived_cl0_062,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ~ ( p104 @ ( sk__5 @ X4 ) )
| ( p103 @ X4 )
| ~ ( p102 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4067,zip_derived_cl0]) ).
thf(zip_derived_cl4074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ~ ( p104 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4068]) ).
thf(zip_derived_cl0_063,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p102 @ X3 )
| ( p103 @ X3 )
| ~ ( p104 @ ( sk__5 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4074,zip_derived_cl0]) ).
thf(zip_derived_cl4080,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl4075]) ).
thf(zip_derived_cl0_064,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl4081,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ ( sk__5 @ X0 ) )
| ( p103 @ X0 )
| ~ ( p102 @ X0 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4080,zip_derived_cl0]) ).
thf(zip_derived_cl10225,plain,
( ~ ( r1 @ sk_ @ ( sk__2 @ sk_ ) )
| ~ ( p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) )
| ~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl4081]) ).
thf(zip_derived_cl8097_065,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl9090_066,plain,
p102 @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl9070,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl9082_067,plain,
~ ( p103 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9045,zip_derived_cl4461,zip_derived_cl6803]) ).
thf(zip_derived_cl10512,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10225,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl13682,plain,
~ ( p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl13679,zip_derived_cl10566,zip_derived_cl10512]) ).
thf(zip_derived_cl10597_068,plain,
r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10310,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl9371_069,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl8097_070,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl0_071,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( r1 @ X4 @ X5 )
| ~ ( r1 @ X6 @ X7 )
| ~ ( r1 @ X8 @ X9 )
| ( r1 @ X9 @ ( sk__8 @ X9 ) )
| ( p104 @ X9 )
| ~ ( p103 @ X9 )
| ~ ( r1 @ X7 @ X8 )
| ~ ( r1 @ X5 @ X6 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p103 @ X7 )
| ( p104 @ X7 )
| ( r1 @ X7 @ ( sk__8 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl0_072,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl1532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ~ ( p103 @ X7 )
| ( p104 @ X7 )
| ( r1 @ X7 @ ( sk__8 @ X7 ) )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl1531,zip_derived_cl0]) ).
thf(zip_derived_cl7498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__8 @ X4 ) )
| ( p104 @ X4 )
| ~ ( p103 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1532]) ).
thf(zip_derived_cl0_073,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( r1 @ X4 @ ( sk__8 @ X4 ) )
| ( p104 @ X4 )
| ~ ( p103 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7498,zip_derived_cl0]) ).
thf(zip_derived_cl7505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p103 @ X3 )
| ( p104 @ X3 )
| ( r1 @ X3 @ ( sk__8 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl7499]) ).
thf(zip_derived_cl0_074,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl7506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( p103 @ X3 )
| ( p104 @ X3 )
| ( r1 @ X3 @ ( sk__8 @ X3 ) )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7505,zip_derived_cl0]) ).
thf(zip_derived_cl7508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( r1 @ X1 @ ( sk__8 @ X1 ) )
| ( p104 @ X1 )
| ~ ( p103 @ X1 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl7506]) ).
thf(zip_derived_cl8962,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__2 @ sk_ ) @ X0 )
| ~ ( p103 @ X1 )
| ( p104 @ X1 )
| ( r1 @ X1 @ ( sk__8 @ X1 ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8097,zip_derived_cl7508]) ).
thf(zip_derived_cl17003,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ X0 )
| ( r1 @ X0 @ ( sk__8 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl8962]) ).
thf(zip_derived_cl17012,plain,
( ~ ( p103 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) )
| ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) )
| ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10597,zip_derived_cl17003]) ).
thf(zip_derived_cl10566_075,plain,
p103 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10279,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl10512_076,plain,
~ ( p104 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10225,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl17015,plain,
r1 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17012,zip_derived_cl10566,zip_derived_cl10512]) ).
thf(zip_derived_cl10597_077,plain,
r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10310,zip_derived_cl8097,zip_derived_cl9090,zip_derived_cl9082]) ).
thf(zip_derived_cl9371_078,plain,
r1 @ ( sk__2 @ sk_ ) @ ( sk__3 @ ( sk__2 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl8383,zip_derived_cl0,zip_derived_cl6803,zip_derived_cl4461]) ).
thf(zip_derived_cl8097_079,plain,
r1 @ sk_ @ ( sk__2 @ sk_ ),
inference(demod,[status(thm)],[zip_derived_cl8096,zip_derived_cl114,zip_derived_cl115]) ).
thf(zip_derived_cl116,plain,
! [X32: $i,X33: $i,X34: $i,X35: $i,X36: $i,X37: $i,X38: $i,X39: $i,X40: $i,X41: $i] :
( ~ ( r1 @ X32 @ X33 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ X36 @ X37 )
| ~ ( r1 @ X38 @ X39 )
| ~ ( r1 @ X40 @ X41 )
| ( p5 @ X41 )
| ~ ( r1 @ X39 @ X40 )
| ~ ( r1 @ X37 @ X38 )
| ~ ( r1 @ X35 @ X36 )
| ~ ( r1 @ X33 @ X34 )
| ~ ( r1 @ sk_ @ X32 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ( p5 @ X7 )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl116]) ).
thf(zip_derived_cl0_080,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ~ ( r1 @ X4 @ X3 )
| ~ ( r1 @ X6 @ X5 )
| ( p5 @ X7 )
| ~ ( r1 @ X5 @ X7 )
| ~ ( r1 @ X3 @ X6 )
| ~ ( r1 @ X1 @ X4 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl0]) ).
thf(zip_derived_cl136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p5 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl0_081,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( r1 @ X5 @ X4 )
| ( p5 @ X4 )
| ~ ( r1 @ X2 @ X5 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk_ @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl0]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p5 @ X3 )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl137]) ).
thf(zip_derived_cl0_082,plain,
! [X0: $i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p5 @ X3 )
| ~ ( r1 @ X1 @ X3 )
| ~ ( r1 @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl0]) ).
thf(zip_derived_cl8394,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__2 @ sk_ ) @ X0 )
| ~ ( r1 @ X2 @ X1 )
| ( p5 @ X1 )
| ~ ( r1 @ X0 @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8097,zip_derived_cl156]) ).
thf(zip_derived_cl10900,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ ( sk__3 @ ( sk__2 @ sk_ ) ) @ X0 )
| ( p5 @ X1 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9371,zip_derived_cl8394]) ).
thf(zip_derived_cl12245,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) @ X0 )
| ( p5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10597,zip_derived_cl10900]) ).
thf(zip_derived_cl17315,plain,
p5 @ ( sk__8 @ ( sk__5 @ ( sk__3 @ ( sk__2 @ sk_ ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17015,zip_derived_cl12245]) ).
thf(zip_derived_cl17437,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13682,zip_derived_cl17315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RaC9mOqKKY true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 07:10:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.65 % Total configuration time : 435
% 0.20/0.65 % Estimated wc time : 1092
% 0.20/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 109.45/16.22 % Solved by fo/fo3_bce.sh.
% 109.45/16.22 % BCE start: 117
% 109.45/16.22 % BCE eliminated: 3
% 109.45/16.22 % PE start: 114
% 109.45/16.22 logic: neq
% 109.45/16.22 % PE eliminated: 0
% 109.45/16.22 % done 6463 iterations in 15.442s
% 109.45/16.22 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 109.45/16.22 % SZS output start Refutation
% See solution above
% 109.45/16.23
% 109.45/16.23
% 109.45/16.23 % Terminating...
% 109.45/16.30 % Runner terminated.
% 109.45/16.31 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------