TSTP Solution File: LCL636+1.005 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL636+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.f4UsN35h7Z true
% Computer : n004.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 09:00:27 EDT 2023
% Result : Theorem 61.65s 9.48s
% Output : Refutation 62.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 21
% Syntax : Number of formulae : 252 ( 59 unt; 20 typ; 0 def)
% Number of atoms : 2261 ( 0 equ; 0 cnn)
% Maximal formula atoms : 719 ( 9 avg)
% Number of connectives : 7394 (1624 ~;1391 |; 638 &;3741 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 20 usr; 3 con; 0-2 aty)
% Number of variables : 486 ( 0 ^; 484 !; 2 ?; 486 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__type,type,
sk_: $i ).
thf(p103_type,type,
p103: $i > $o ).
thf(p100_type,type,
p100: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(sk__37_type,type,
sk__37: $i > $i ).
thf(p1_type,type,
p1: $i > $o ).
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p102_type,type,
p102: $i > $o ).
thf(p106_type,type,
p106: $i > $o ).
thf(sk__49_type,type,
sk__49: $i > $i ).
thf(sk__25_type,type,
sk__25: $i > $i ).
thf(p5_type,type,
p5: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p104_type,type,
p104: $i > $o ).
thf(p101_type,type,
p101: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(sk__14_type,type,
sk__14: $i > $i ).
thf(p105_type,type,
p105: $i > $o ).
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 ) )
& ! [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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [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 ) )
& ! [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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [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 ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( p105 @ Y )
| ~ ( p6 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p6 @ X ) )
& ( ! [Y: $i] :
( ~ ( p105 @ Y )
| ( p6 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p6 @ X ) ) )
| ~ ( p105 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p104 @ Y )
| ~ ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p5 @ X ) )
& ( ! [Y: $i] :
( ~ ( p104 @ Y )
| ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p5 @ X ) ) )
| ~ ( p104 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p103 @ Y )
| ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p4 @ X ) )
& ( ! [Y: $i] :
( ~ ( p103 @ Y )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p4 @ X ) ) )
| ~ ( p103 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p102 @ Y )
| ~ ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p3 @ X ) )
& ( ! [Y: $i] :
( ~ ( p102 @ Y )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p3 @ X ) ) )
| ~ ( p102 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p105 @ X )
| ~ ( p106 @ X ) )
& ( ( p104 @ X )
| ~ ( p105 @ X ) )
& ( ( p103 @ X )
| ~ ( p104 @ X ) )
& ( ( p102 @ X )
| ~ ( p103 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( 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 ) )
& ! [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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [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 ) )
& ! [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 ) )
& ( ~ ( 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 ) ) ) ) )
& ( ~ ( ~ ( 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 ) ) ) ) )
| ~ ( r1 @ Y @ X ) )
| ~ ( r1 @ X @ Y ) )
& ! [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 ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p6 @ Y )
& ~ ( p106 @ Y )
& ( p105 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p105 @ X )
& ( p104 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p5 @ Y )
& ~ ( p105 @ Y )
& ( p104 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p104 @ X )
& ( p103 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p4 @ Y )
& ~ ( p104 @ Y )
& ( p103 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p103 @ X )
& ( p102 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p3 @ Y )
& ~ ( p103 @ Y )
& ( p102 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p102 @ X )
& ( p101 @ X ) ) )
& ( ( ~ ! [Y: $i] :
( ~ ( ~ ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
& ~ ! [Y: $i] :
( ~ ( ( p2 @ Y )
& ~ ( p102 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) ) )
| ~ ( ~ ( p101 @ X )
& ( p100 @ X ) ) )
& ( ( ( ! [Y: $i] :
( ~ ( p105 @ Y )
| ~ ( p6 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p6 @ X ) )
& ( ! [Y: $i] :
( ~ ( p105 @ Y )
| ( p6 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p6 @ X ) ) )
| ~ ( p105 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p104 @ Y )
| ~ ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p5 @ X ) )
& ( ! [Y: $i] :
( ~ ( p104 @ Y )
| ( p5 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p5 @ X ) ) )
| ~ ( p104 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p103 @ Y )
| ~ ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p4 @ X ) )
& ( ! [Y: $i] :
( ~ ( p103 @ Y )
| ( p4 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p4 @ X ) ) )
| ~ ( p103 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p102 @ Y )
| ~ ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p3 @ X ) )
& ( ! [Y: $i] :
( ~ ( p102 @ Y )
| ( p3 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p3 @ X ) ) )
| ~ ( p102 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ~ ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p2 @ X ) )
& ( ! [Y: $i] :
( ~ ( p101 @ Y )
| ( p2 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p2 @ X ) ) )
| ~ ( p101 @ X ) )
& ( ( ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ~ ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ( p1 @ X ) )
& ( ! [Y: $i] :
( ~ ( p100 @ Y )
| ( p1 @ Y )
| ~ ( r1 @ X @ Y ) )
| ~ ( p1 @ X ) ) )
| ~ ( p100 @ X ) )
& ( ( p105 @ X )
| ~ ( p106 @ X ) )
& ( ( p104 @ X )
| ~ ( p105 @ X ) )
& ( ( p103 @ X )
| ~ ( p104 @ X ) )
& ( ( p102 @ X )
| ~ ( p103 @ X ) )
& ( ( p101 @ X )
| ~ ( p102 @ X ) )
& ( ( p100 @ X )
| ~ ( p101 @ X ) )
& ~ ( p101 @ X )
& ( p100 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).
thf(zip_derived_cl322,plain,
( ( r1 @ sk_ @ sk__1 )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl348,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl412,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl262,plain,
! [X62: $i] :
( ( r1 @ X62 @ ( sk__14 @ X62 ) )
| ( p102 @ X62 )
| ~ ( p101 @ X62 )
| ~ ( r1 @ sk_ @ X62 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl683,plain,
( ~ ( p101 @ sk__1 )
| ( p102 @ sk__1 )
| ( r1 @ sk__1 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl262]) ).
thf(zip_derived_cl325,plain,
( ( p101 @ sk__1 )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349_001,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl392,plain,
( ( p101 @ sk__1 )
| ( p101 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl325,zip_derived_cl349]) ).
thf(zip_derived_cl348_002,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl393,plain,
p101 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl392,zip_derived_cl348]) ).
thf(zip_derived_cl324,plain,
( ~ ( p102 @ sk__1 )
| ~ ( p100 @ sk_ )
| ( p101 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl349_003,plain,
p100 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl376,plain,
( ~ ( p102 @ sk__1 )
| ( p101 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl324,zip_derived_cl349]) ).
thf(zip_derived_cl348_004,plain,
~ ( p101 @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl377,plain,
~ ( p102 @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl348]) ).
thf(zip_derived_cl685,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl685_005,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl685_006,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_007,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl197,plain,
! [X48: $i,X49: $i] :
( ~ ( r1 @ X48 @ X49 )
| ( r1 @ X49 @ ( sk__25 @ X49 ) )
| ( p103 @ X49 )
| ~ ( p102 @ X49 )
| ~ ( r1 @ sk_ @ X48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1755,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ( p103 @ X0 )
| ( r1 @ X0 @ ( sk__25 @ X0 ) )
| ~ ( r1 @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl197]) ).
thf(zip_derived_cl1758,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p102 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl1755]) ).
thf(zip_derived_cl412_008,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl265,plain,
! [X62: $i] :
( ( p102 @ ( sk__14 @ X62 ) )
| ( p102 @ X62 )
| ~ ( p101 @ X62 )
| ~ ( r1 @ sk_ @ X62 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl501,plain,
( ~ ( p101 @ sk__1 )
| ( p102 @ sk__1 )
| ( p102 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl265]) ).
thf(zip_derived_cl393_009,plain,
p101 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl392,zip_derived_cl348]) ).
thf(zip_derived_cl377_010,plain,
~ ( p102 @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl348]) ).
thf(zip_derived_cl503,plain,
p102 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl1760,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl1760_011,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_012,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_013,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl131,plain,
! [X33: $i,X34: $i,X35: $i] :
( ~ ( r1 @ X33 @ X34 )
| ( r1 @ X35 @ ( sk__37 @ X35 ) )
| ( p104 @ X35 )
| ~ ( p103 @ X35 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3871,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ X0 )
| ( p104 @ X0 )
| ( r1 @ X0 @ ( sk__37 @ X0 ) )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl131]) ).
thf(zip_derived_cl3877,plain,
! [X0: $i] :
( ( r1 @ X0 @ ( sk__37 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl3871]) ).
thf(zip_derived_cl3880,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl3877]) ).
thf(zip_derived_cl685_014,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_015,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl194,plain,
! [X48: $i,X49: $i] :
( ~ ( r1 @ X48 @ X49 )
| ( p103 @ ( sk__25 @ X49 ) )
| ( p103 @ X49 )
| ~ ( p102 @ X49 )
| ~ ( r1 @ sk_ @ X48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1093,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ( p103 @ X0 )
| ( p103 @ ( sk__25 @ X0 ) )
| ~ ( r1 @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl194]) ).
thf(zip_derived_cl1098,plain,
( ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p102 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl1093]) ).
thf(zip_derived_cl503_016,plain,
p102 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl1100,plain,
( ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl503]) ).
thf(zip_derived_cl4223,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_017,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_018,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_019,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl108,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X19 @ X20 )
| ( r1 @ X20 @ ( sk__49 @ X20 ) )
| ( p105 @ X20 )
| ~ ( p104 @ X20 )
| ~ ( r1 @ X18 @ X19 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3589,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ X2 )
| ( p105 @ X2 )
| ( r1 @ X2 @ ( sk__49 @ X2 ) )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl108]) ).
thf(zip_derived_cl6297,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( r1 @ X0 @ ( sk__49 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl3589]) ).
thf(zip_derived_cl6301,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p104 @ X0 )
| ( p105 @ X0 )
| ( r1 @ X0 @ ( sk__49 @ X0 ) )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl6297]) ).
thf(zip_derived_cl7433,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl6301]) ).
thf(zip_derived_cl7435,plain,
( ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl7433]) ).
thf(zip_derived_cl1760_020,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_021,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_022,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl128,plain,
! [X33: $i,X34: $i,X35: $i] :
( ~ ( r1 @ X33 @ X34 )
| ( p104 @ ( sk__37 @ X35 ) )
| ( p104 @ X35 )
| ~ ( p103 @ X35 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2429,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ X0 )
| ( p104 @ X0 )
| ( p104 @ ( sk__37 @ X0 ) )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl128]) ).
thf(zip_derived_cl2444,plain,
! [X0: $i] :
( ( p104 @ ( sk__37 @ X0 ) )
| ( p104 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl2429]) ).
thf(zip_derived_cl2447,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl2444]) ).
thf(zip_derived_cl1100_023,plain,
( ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl503]) ).
thf(zip_derived_cl2661,plain,
( ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2447,zip_derived_cl1100]) ).
thf(zip_derived_cl11031,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7435,zip_derived_cl2661]) ).
thf(zip_derived_cl4223_024,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_025,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_026,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_027,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ( p104 @ X4 )
| ~ ( p105 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p105 @ X2 )
| ( p104 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl4]) ).
thf(zip_derived_cl1937,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p104 @ X2 )
| ~ ( p105 @ X2 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl460]) ).
thf(zip_derived_cl1964,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p105 @ X0 )
| ( p104 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1937]) ).
thf(zip_derived_cl4431,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ X0 )
| ~ ( p105 @ X0 )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl1964]) ).
thf(zip_derived_cl4434,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ~ ( p105 @ X0 )
| ( p104 @ X0 )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4431]) ).
thf(zip_derived_cl11394,plain,
( ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ~ ( p105 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl4434]) ).
thf(zip_derived_cl11395,plain,
( ~ ( p105 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p104 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11394]) ).
thf(zip_derived_cl4223_028,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_029,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_030,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_031,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl111,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X19 @ X20 )
| ( p105 @ ( sk__49 @ X20 ) )
| ( p105 @ X20 )
| ~ ( p104 @ X20 )
| ~ ( r1 @ X18 @ X19 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3681,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ X2 )
| ( p105 @ X2 )
| ( p105 @ ( sk__49 @ X2 ) )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl111]) ).
thf(zip_derived_cl3803,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p105 @ ( sk__49 @ X0 ) )
| ( p105 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl3681]) ).
thf(zip_derived_cl3806,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p104 @ X0 )
| ( p105 @ X0 )
| ( p105 @ ( sk__49 @ X0 ) )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl3803]) ).
thf(zip_derived_cl6104,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl3806]) ).
thf(zip_derived_cl6106,plain,
( ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6104]) ).
thf(zip_derived_cl2661_032,plain,
( ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2447,zip_derived_cl1100]) ).
thf(zip_derived_cl8929,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl6106,zip_derived_cl2661]) ).
thf(zip_derived_cl13829,plain,
( ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11395,zip_derived_cl8929]) ).
thf(zip_derived_cl11031_033,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7435,zip_derived_cl2661]) ).
thf(zip_derived_cl4223_034,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_035,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_036,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_037,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ( p103 @ X4 )
| ~ ( p104 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p104 @ X2 )
| ( p103 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl3]) ).
thf(zip_derived_cl1709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p103 @ X2 )
| ~ ( p104 @ X2 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl428]) ).
thf(zip_derived_cl1798,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ X0 )
| ( p103 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1709]) ).
thf(zip_derived_cl4234,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl1798]) ).
thf(zip_derived_cl4246,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ~ ( p104 @ X0 )
| ( p103 @ X0 )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4234]) ).
thf(zip_derived_cl11156,plain,
( ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ~ ( p104 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl4246]) ).
thf(zip_derived_cl11157,plain,
( ~ ( p104 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11156]) ).
thf(zip_derived_cl13830,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13829,zip_derived_cl11157]) ).
thf(zip_derived_cl13831,plain,
( ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13830]) ).
thf(zip_derived_cl11031_038,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7435,zip_derived_cl2661]) ).
thf(zip_derived_cl4223_039,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_040,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_041,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_042,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( r1 @ X2 @ X3 )
| ( p102 @ X4 )
| ~ ( p103 @ X4 )
| ~ ( r1 @ X3 @ X4 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ~ ( p103 @ X2 )
| ( p102 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl2]) ).
thf(zip_derived_cl1686,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p102 @ X2 )
| ~ ( p103 @ X2 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl415]) ).
thf(zip_derived_cl1797,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ X0 )
| ( p102 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1686]) ).
thf(zip_derived_cl4233,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p102 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl1797]) ).
thf(zip_derived_cl4245,plain,
! [X0: $i] :
( ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ~ ( p103 @ X0 )
| ( p102 @ X0 )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4233]) ).
thf(zip_derived_cl11140,plain,
( ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ~ ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl4245]) ).
thf(zip_derived_cl11141,plain,
( ~ ( p103 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11140]) ).
thf(zip_derived_cl13893,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13831,zip_derived_cl11141]) ).
thf(zip_derived_cl13894,plain,
( ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13893]) ).
thf(zip_derived_cl11031_043,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl7435,zip_derived_cl2661]) ).
thf(zip_derived_cl4223_044,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_045,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_046,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_047,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl68,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i,X25: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X19 @ X20 )
| ~ ( p102 @ X25 )
| ~ ( p3 @ X25 )
| ~ ( r1 @ X20 @ X25 )
| ( p3 @ X20 )
| ~ ( p102 @ X20 )
| ~ ( r1 @ X18 @ X19 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p102 @ X2 )
| ( p3 @ X2 )
| ~ ( r1 @ X2 @ X3 )
| ~ ( p3 @ X3 )
| ~ ( p102 @ X3 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl68]) ).
thf(zip_derived_cl412_048,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl350,plain,
! [X87: $i,X88: $i,X89: $i,X90: $i,X91: $i] :
( ~ ( r1 @ X87 @ X88 )
| ~ ( r1 @ X89 @ X90 )
| ( p3 @ X91 )
| ~ ( r1 @ X90 @ X91 )
| ~ ( r1 @ X88 @ X89 )
| ~ ( r1 @ sk_ @ X87 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( r1 @ X3 @ X2 )
| ( p3 @ X2 )
| ~ ( r1 @ X0 @ X3 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl350]) ).
thf(zip_derived_cl5173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r1 @ sk__1 @ X1 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( p102 @ X3 )
| ~ ( r1 @ X2 @ X3 )
| ( p3 @ X2 )
| ~ ( p102 @ X2 )
| ~ ( r1 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl2412,zip_derived_cl2110]) ).
thf(zip_derived_cl5175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 )
| ~ ( p102 @ X1 )
| ( p3 @ X1 )
| ~ ( r1 @ X1 @ X2 )
| ~ ( p102 @ X2 )
| ~ ( r1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl5173]) ).
thf(zip_derived_cl5195,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 )
| ~ ( p102 @ X1 )
| ~ ( r1 @ X0 @ X1 )
| ( p3 @ X0 )
| ~ ( p102 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl5175]) ).
thf(zip_derived_cl6373,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ~ ( p102 @ X0 )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl5195]) ).
thf(zip_derived_cl6377,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6373]) ).
thf(zip_derived_cl4223_049,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_050,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_051,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_052,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl61,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X19 @ X20 )
| ( p103 @ X20 )
| ~ ( p104 @ X20 )
| ~ ( r1 @ X18 @ X19 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1039,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p104 @ X2 )
| ( p103 @ X2 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl61]) ).
thf(zip_derived_cl1067,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p103 @ X0 )
| ~ ( p104 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl1039]) ).
thf(zip_derived_cl1792,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p104 @ X0 )
| ( p103 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1067]) ).
thf(zip_derived_cl4227,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl1792]) ).
thf(zip_derived_cl4239,plain,
( ~ ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4227]) ).
thf(zip_derived_cl2661_053,plain,
( ( p104 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl2447,zip_derived_cl1100]) ).
thf(zip_derived_cl6087,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4239,zip_derived_cl2661]) ).
thf(zip_derived_cl4223_054,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_055,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_056,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_057,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl60,plain,
! [X17: $i,X18: $i,X19: $i,X20: $i] :
( ~ ( r1 @ X17 @ X18 )
| ~ ( r1 @ X19 @ X20 )
| ( p102 @ X20 )
| ~ ( p103 @ X20 )
| ~ ( r1 @ X18 @ X19 )
| ~ ( r1 @ sk_ @ X17 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ X2 )
| ( p102 @ X2 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl60]) ).
thf(zip_derived_cl1007,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ( p102 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl1001]) ).
thf(zip_derived_cl1791,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p103 @ X0 )
| ( p102 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1007]) ).
thf(zip_derived_cl4226,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p103 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl1791]) ).
thf(zip_derived_cl4238,plain,
( ~ ( p103 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4226]) ).
thf(zip_derived_cl6088,plain,
( ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl6087,zip_derived_cl4238]) ).
thf(zip_derived_cl6089,plain,
( ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6088]) ).
thf(zip_derived_cl12143,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( r1 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) @ X0 )
| ~ ( p102 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl6377,zip_derived_cl6089]) ).
thf(zip_derived_cl12144,plain,
( ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl11031,zip_derived_cl12143]) ).
thf(zip_derived_cl12146,plain,
( ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p102 @ ( sk__49 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl12144]) ).
thf(zip_derived_cl13896,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13894,zip_derived_cl12146]) ).
thf(zip_derived_cl13898,plain,
( ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p105 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13896]) ).
thf(zip_derived_cl129,plain,
! [X33: $i,X34: $i,X35: $i] :
( ~ ( r1 @ X33 @ X34 )
| ~ ( p105 @ ( sk__37 @ X35 ) )
| ( p104 @ X35 )
| ~ ( p103 @ X35 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13899,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13898,zip_derived_cl129]) ).
thf(zip_derived_cl13900,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X0 @ X1 )
| ~ ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ X1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl13899]) ).
thf(zip_derived_cl1100_058,plain,
( ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl503]) ).
thf(zip_derived_cl16493,plain,
! [X0: $i,X1: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl13900,zip_derived_cl1100]) ).
thf(zip_derived_cl16494,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X0 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ sk_ @ X0 )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl16493]) ).
thf(zip_derived_cl16496,plain,
! [X0: $i] :
( ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( r1 @ X0 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16494]) ).
thf(zip_derived_cl16497,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ sk_ @ sk__1 )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl16496]) ).
thf(zip_derived_cl412_059,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl16498,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16497,zip_derived_cl412]) ).
thf(zip_derived_cl4223_060,plain,
( ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3880,zip_derived_cl1100]) ).
thf(zip_derived_cl1760_061,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_062,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_063,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl163,plain,
! [X33: $i,X34: $i,X35: $i,X43: $i] :
( ~ ( r1 @ X33 @ X34 )
| ~ ( p102 @ X43 )
| ~ ( p3 @ X43 )
| ~ ( r1 @ X35 @ X43 )
| ( p3 @ X35 )
| ~ ( p102 @ X35 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3717,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p102 @ X0 )
| ( p3 @ X0 )
| ~ ( r1 @ X0 @ X2 )
| ~ ( p3 @ X2 )
| ~ ( p102 @ X2 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl163]) ).
thf(zip_derived_cl3724,plain,
! [X0: $i,X1: $i] :
( ~ ( p102 @ X0 )
| ~ ( p3 @ X0 )
| ~ ( r1 @ X1 @ X0 )
| ( p3 @ X1 )
| ~ ( p102 @ X1 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl3717]) ).
thf(zip_derived_cl3732,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p102 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 )
| ~ ( p3 @ X0 )
| ~ ( p102 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl3724]) ).
thf(zip_derived_cl1760_064,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_065,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_066,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl171,plain,
! [X33: $i,X34: $i,X35: $i] :
( ~ ( r1 @ X33 @ X34 )
| ( p102 @ X35 )
| ~ ( p103 @ X35 )
| ~ ( r1 @ X34 @ X35 )
| ~ ( r1 @ sk_ @ X33 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl605,plain,
! [X0: $i,X1: $i] :
( ~ ( r1 @ X1 @ X0 )
| ~ ( p103 @ X0 )
| ( p102 @ X0 )
| ~ ( r1 @ sk__1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl171]) ).
thf(zip_derived_cl696,plain,
! [X0: $i] :
( ( p102 @ X0 )
| ~ ( p103 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl605]) ).
thf(zip_derived_cl1783,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p102 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl696]) ).
thf(zip_derived_cl1100_067,plain,
( ( p103 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1098,zip_derived_cl503]) ).
thf(zip_derived_cl1889,plain,
( ( p102 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1783,zip_derived_cl1100]) ).
thf(zip_derived_cl11800,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ~ ( p3 @ X0 )
| ~ ( r1 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) @ X0 )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3732,zip_derived_cl1889]) ).
thf(zip_derived_cl11801,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4223,zip_derived_cl11800]) ).
thf(zip_derived_cl11803,plain,
( ~ ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ~ ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl11801]) ).
thf(zip_derived_cl6089_068,plain,
( ( p102 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6088]) ).
thf(zip_derived_cl11926,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( p3 @ ( sk__37 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11803,zip_derived_cl6089]) ).
thf(zip_derived_cl16499,plain,
( ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16498,zip_derived_cl11926]) ).
thf(zip_derived_cl16500,plain,
( ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p104 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16499]) ).
thf(zip_derived_cl195,plain,
! [X48: $i,X49: $i] :
( ~ ( r1 @ X48 @ X49 )
| ~ ( p104 @ ( sk__25 @ X49 ) )
| ( p103 @ X49 )
| ~ ( p102 @ X49 )
| ~ ( r1 @ sk_ @ X48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16501,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ~ ( p102 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X0 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16500,zip_derived_cl195]) ).
thf(zip_derived_cl503_069,plain,
p102 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl16509,plain,
! [X0: $i] :
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ sk_ @ X0 )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ X0 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16501,zip_derived_cl503]) ).
thf(zip_derived_cl16510,plain,
! [X0: $i] :
( ~ ( r1 @ X0 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ sk_ @ X0 )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16509]) ).
thf(zip_derived_cl16518,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( r1 @ sk_ @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl16510]) ).
thf(zip_derived_cl412_070,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl16519,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl16518,zip_derived_cl412]) ).
thf(zip_derived_cl1760_071,plain,
( ( r1 @ ( sk__14 @ sk__1 ) @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1758,zip_derived_cl503]) ).
thf(zip_derived_cl685_072,plain,
r1 @ sk__1 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl683,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl412_073,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl221,plain,
! [X48: $i,X49: $i,X57: $i] :
( ~ ( r1 @ X48 @ X49 )
| ~ ( p102 @ X57 )
| ~ ( p3 @ X57 )
| ~ ( r1 @ X49 @ X57 )
| ( p3 @ X49 )
| ~ ( p102 @ X49 )
| ~ ( r1 @ sk_ @ X48 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1411,plain,
! [X0: $i,X1: $i] :
( ~ ( p102 @ X0 )
| ( p3 @ X0 )
| ~ ( r1 @ X0 @ X1 )
| ~ ( p3 @ X1 )
| ~ ( p102 @ X1 )
| ~ ( r1 @ sk__1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl412,zip_derived_cl221]) ).
thf(zip_derived_cl1418,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ~ ( p3 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 )
| ( p3 @ ( sk__14 @ sk__1 ) )
| ~ ( p102 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl685,zip_derived_cl1411]) ).
thf(zip_derived_cl503_074,plain,
p102 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl501,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl1422,plain,
! [X0: $i] :
( ~ ( p102 @ X0 )
| ~ ( p3 @ X0 )
| ~ ( r1 @ ( sk__14 @ sk__1 ) @ X0 )
| ( p3 @ ( sk__14 @ sk__1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1418,zip_derived_cl503]) ).
thf(zip_derived_cl1786,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__14 @ sk__1 ) )
| ~ ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ~ ( p102 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1760,zip_derived_cl1422]) ).
thf(zip_derived_cl1889_075,plain,
( ( p102 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1783,zip_derived_cl1100]) ).
thf(zip_derived_cl1983,plain,
( ~ ( p3 @ ( sk__25 @ ( sk__14 @ sk__1 ) ) )
| ( p3 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1786,zip_derived_cl1889]) ).
thf(zip_derived_cl16520,plain,
( ( p103 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) )
| ( p3 @ ( sk__14 @ sk__1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16519,zip_derived_cl1983]) ).
thf(zip_derived_cl16522,plain,
( ( p3 @ ( sk__14 @ sk__1 ) )
| ( p103 @ ( sk__14 @ sk__1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl16520]) ).
thf(zip_derived_cl264,plain,
! [X62: $i] :
( ~ ( p103 @ ( sk__14 @ X62 ) )
| ( p102 @ X62 )
| ~ ( p101 @ X62 )
| ~ ( r1 @ sk_ @ X62 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16524,plain,
( ( p3 @ ( sk__14 @ sk__1 ) )
| ~ ( r1 @ sk_ @ sk__1 )
| ~ ( p101 @ sk__1 )
| ( p102 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16522,zip_derived_cl264]) ).
thf(zip_derived_cl412_076,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl393_077,plain,
p101 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl392,zip_derived_cl348]) ).
thf(zip_derived_cl377_078,plain,
~ ( p102 @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl348]) ).
thf(zip_derived_cl16532,plain,
p3 @ ( sk__14 @ sk__1 ),
inference(demod,[status(thm)],[zip_derived_cl16524,zip_derived_cl412,zip_derived_cl393,zip_derived_cl377]) ).
thf(zip_derived_cl263,plain,
! [X62: $i] :
( ~ ( p3 @ ( sk__14 @ X62 ) )
| ( p102 @ X62 )
| ~ ( p101 @ X62 )
| ~ ( r1 @ sk_ @ X62 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16534,plain,
( ~ ( r1 @ sk_ @ sk__1 )
| ~ ( p101 @ sk__1 )
| ( p102 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16532,zip_derived_cl263]) ).
thf(zip_derived_cl412_079,plain,
r1 @ sk_ @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl349,zip_derived_cl348]) ).
thf(zip_derived_cl393_080,plain,
p101 @ sk__1,
inference(clc,[status(thm)],[zip_derived_cl392,zip_derived_cl348]) ).
thf(zip_derived_cl377_081,plain,
~ ( p102 @ sk__1 ),
inference(clc,[status(thm)],[zip_derived_cl376,zip_derived_cl348]) ).
thf(zip_derived_cl16535,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl16534,zip_derived_cl412,zip_derived_cl393,zip_derived_cl377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL636+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f4UsN35h7Z true
% 0.13/0.34 % Computer : n004.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 : Thu Aug 24 18:23:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 61.65/9.48 % Solved by fo/fo5.sh.
% 61.65/9.48 % done 6534 iterations in 8.690s
% 61.65/9.48 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.65/9.48 % SZS output start Refutation
% See solution above
% 62.01/9.48
% 62.01/9.48
% 62.01/9.48 % Terminating...
% 62.45/9.58 % Runner terminated.
% 62.45/9.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------