TSTP Solution File: SYO228^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO228^5 : 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.xScIMWNkM9 true
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:50:22 EDT 2023
% Result : Theorem 0.58s 0.89s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 29
% Syntax : Number of formulae : 204 ( 35 unt; 20 typ; 0 def)
% Number of atoms : 1089 ( 80 equ; 0 cnn)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 3581 ( 251 ~; 237 |; 301 &;2202 @)
% ( 0 <=>; 234 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-2 aty)
% ( 356 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 468 ( 356 ^; 112 !; 0 ?; 468 :)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(g_type,type,
g: $tType ).
thf('#sk16_type',type,
'#sk16': a ).
thf('#sk9_type',type,
'#sk9': g ).
thf('#sk15_type',type,
'#sk15': a ).
thf('#form14_type',type,
'#form14': $o ).
thf('#sk1_type',type,
'#sk1': g > b ).
thf('#sk4_type',type,
'#sk4': g > g > g ).
thf('#sk13_type',type,
'#sk13': g ).
thf('#sk8_type',type,
'#sk8': a > a > a ).
thf('#sk17_type',type,
'#sk17': g ).
thf('#sk11_type',type,
'#sk11': g ).
thf('#sk5_type',type,
'#sk5': b > $o ).
thf('#sk6_type',type,
'#sk6': b > b > b ).
thf('#form12_type',type,
'#form12': $o ).
thf('#sk2_type',type,
'#sk2': b > a ).
thf('#sk10_type',type,
'#sk10': g ).
thf('#sk3_type',type,
'#sk3': g > $o ).
thf('#sk7_type',type,
'#sk7': a > $o ).
thf(cTHM126_EXPANDED_pme,conjecture,
! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xy )
& ( Xs3 @ Xx ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx )
& ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xy )
& ( Xs3 @ Xx ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
& ! [Xx: b] :
( ( Xs2 @ Xx )
=> ( Xs3 @ ( Xh2 @ Xx ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xy )
& ( Xs3 @ Xx ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
= ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs2 @ ( Xh1 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs2 @ Xy )
& ( Xs2 @ Xx ) )
=> ( Xs2 @ ( Xf2 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx )
& ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) )
& ! [Xx: g] :
( ( Xs1 @ Xx )
=> ( Xs3 @ ( Xh2 @ ( Xh1 @ Xx ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xy )
& ( Xs3 @ Xx ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs1 @ Xy )
& ( Xs1 @ Xx ) )
=> ( Xs1 @ ( Xf1 @ Xx @ Xy ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM126_EXPANDED_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: g > b] :
( !!
@ ^ [Y1: b > a] :
( !!
@ ^ [Y2: g > $o] :
( !!
@ ^ [Y3: g > g > g] :
( !!
@ ^ [Y4: b > $o] :
( !!
@ ^ [Y5: b > b > b] :
( !!
@ ^ [Y6: a > $o] :
( !!
@ ^ [Y7: a > a > a] :
( ( ( !!
@ ^ [Y8: b] :
( !!
@ ^ [Y9: b] :
( ( ( Y4 @ Y9 )
& ( Y4 @ Y8 ) )
=> ( ( Y1 @ ( Y5 @ Y8 @ Y9 ) )
= ( Y7 @ ( Y1 @ Y8 ) @ ( Y1 @ Y9 ) ) ) ) ) )
& ( !!
@ ^ [Y8: b] :
( ( Y4 @ Y8 )
=> ( Y6 @ ( Y1 @ Y8 ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 )
& ( Y6 @ Y8 ) )
=> ( Y6 @ ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: b] :
( !!
@ ^ [Y9: b] :
( ( ( Y4 @ Y9 )
& ( Y4 @ Y8 ) )
=> ( Y4 @ ( Y5 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( ( Y0 @ ( Y3 @ Y8 @ Y9 ) )
= ( Y5 @ ( Y0 @ Y8 ) @ ( Y0 @ Y9 ) ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( ( Y2 @ Y8 )
=> ( Y4 @ ( Y0 @ Y8 ) ) ) )
& ( !!
@ ^ [Y8: b] :
( !!
@ ^ [Y9: b] :
( ( ( Y4 @ Y9 )
& ( Y4 @ Y8 ) )
=> ( Y4 @ ( Y5 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( Y2 @ ( Y3 @ Y8 @ Y9 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 )
& ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( ( Y1 @ ( Y0 @ ( Y3 @ Y8 @ Y9 ) ) )
= ( Y7 @ ( Y1 @ ( Y0 @ Y8 ) ) @ ( Y1 @ ( Y0 @ Y9 ) ) ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( ( Y2 @ Y8 )
=> ( Y6 @ ( Y1 @ ( Y0 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 )
& ( Y6 @ Y8 ) )
=> ( Y6 @ ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( Y2 @ ( Y3 @ Y8 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: g > b] :
( !!
@ ^ [Y1: b > a] :
( !!
@ ^ [Y2: g > $o] :
( !!
@ ^ [Y3: g > g > g] :
( !!
@ ^ [Y4: b > $o] :
( !!
@ ^ [Y5: b > b > b] :
( !!
@ ^ [Y6: a > $o] :
( !!
@ ^ [Y7: a > a > a] :
( ( ( !!
@ ^ [Y8: g] :
( ( Y2 @ Y8 )
=> ( Y4 @ ( Y0 @ Y8 ) ) ) )
& ( !!
@ ^ [Y8: b] :
( ( Y4 @ Y8 )
=> ( Y6 @ ( Y1 @ Y8 ) ) ) )
& ( !!
@ ^ [Y8: b] :
( !!
@ ^ [Y9: b] :
( ( ( Y4 @ Y9 )
& ( Y4 @ Y8 ) )
=> ( ( Y1 @ ( Y5 @ Y8 @ Y9 ) )
= ( Y7 @ ( Y1 @ Y8 ) @ ( Y1 @ Y9 ) ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 )
& ( Y6 @ Y8 ) )
=> ( Y6 @ ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: b] :
( !!
@ ^ [Y9: b] :
( ( ( Y4 @ Y9 )
& ( Y4 @ Y8 ) )
=> ( Y4 @ ( Y5 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( ( Y0 @ ( Y3 @ Y8 @ Y9 ) )
= ( Y5 @ ( Y0 @ Y8 ) @ ( Y0 @ Y9 ) ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( Y2 @ ( Y3 @ Y8 @ Y9 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y8 )
& ( Y2 @ Y9 ) )
=> ( ( Y1 @ ( Y0 @ ( Y3 @ Y8 @ Y9 ) ) )
= ( Y7 @ ( Y1 @ ( Y0 @ Y8 ) ) @ ( Y1 @ ( Y0 @ Y9 ) ) ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( ( Y2 @ Y8 )
=> ( Y6 @ ( Y1 @ ( Y0 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y8: a] :
( !!
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 )
& ( Y6 @ Y8 ) )
=> ( Y6 @ ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !!
@ ^ [Y8: g] :
( !!
@ ^ [Y9: g] :
( ( ( Y2 @ Y9 )
& ( Y2 @ Y8 ) )
=> ( Y2 @ ( Y3 @ Y8 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: b > a] :
( !!
@ ^ [Y1: g > $o] :
( !!
@ ^ [Y2: g > g > g] :
( !!
@ ^ [Y3: b > $o] :
( !!
@ ^ [Y4: b > b > b] :
( !!
@ ^ [Y5: a > $o] :
( !!
@ ^ [Y6: a > a > a] :
( ( ( !!
@ ^ [Y7: g] :
( ( Y1 @ Y7 )
=> ( Y3 @ ( '#sk1' @ Y7 ) ) ) )
& ( !!
@ ^ [Y7: b] :
( ( Y3 @ Y7 )
=> ( Y5 @ ( Y0 @ Y7 ) ) ) )
& ( !!
@ ^ [Y7: b] :
( !!
@ ^ [Y8: b] :
( ( ( Y3 @ Y8 )
& ( Y3 @ Y7 ) )
=> ( ( Y0 @ ( Y4 @ Y7 @ Y8 ) )
= ( Y6 @ ( Y0 @ Y7 ) @ ( Y0 @ Y8 ) ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y5 @ Y8 )
& ( Y5 @ Y7 ) )
=> ( Y5 @ ( Y6 @ Y7 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y7: b] :
( !!
@ ^ [Y8: b] :
( ( ( Y3 @ Y8 )
& ( Y3 @ Y7 ) )
=> ( Y3 @ ( Y4 @ Y7 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y7: g] :
( !!
@ ^ [Y8: g] :
( ( ( Y1 @ Y8 )
& ( Y1 @ Y7 ) )
=> ( ( '#sk1' @ ( Y2 @ Y7 @ Y8 ) )
= ( Y4 @ ( '#sk1' @ Y7 ) @ ( '#sk1' @ Y8 ) ) ) ) ) )
& ( !!
@ ^ [Y7: g] :
( !!
@ ^ [Y8: g] :
( ( ( Y1 @ Y8 )
& ( Y1 @ Y7 ) )
=> ( Y1 @ ( Y2 @ Y7 @ Y8 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y7: g] :
( !!
@ ^ [Y8: g] :
( ( ( Y1 @ Y7 )
& ( Y1 @ Y8 ) )
=> ( ( Y0 @ ( '#sk1' @ ( Y2 @ Y7 @ Y8 ) ) )
= ( Y6 @ ( Y0 @ ( '#sk1' @ Y7 ) ) @ ( Y0 @ ( '#sk1' @ Y8 ) ) ) ) ) ) )
& ( !!
@ ^ [Y7: g] :
( ( Y1 @ Y7 )
=> ( Y5 @ ( Y0 @ ( '#sk1' @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y7: a] :
( !!
@ ^ [Y8: a] :
( ( ( Y5 @ Y8 )
& ( Y5 @ Y7 ) )
=> ( Y5 @ ( Y6 @ Y7 @ Y8 ) ) ) ) )
& ( !!
@ ^ [Y7: g] :
( !!
@ ^ [Y8: g] :
( ( ( Y1 @ Y8 )
& ( Y1 @ Y7 ) )
=> ( Y1 @ ( Y2 @ Y7 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: g > $o] :
( !!
@ ^ [Y1: g > g > g] :
( !!
@ ^ [Y2: b > $o] :
( !!
@ ^ [Y3: b > b > b] :
( !!
@ ^ [Y4: a > $o] :
( !!
@ ^ [Y5: a > a > a] :
( ( ( !!
@ ^ [Y6: g] :
( ( Y0 @ Y6 )
=> ( Y2 @ ( '#sk1' @ Y6 ) ) ) )
& ( !!
@ ^ [Y6: b] :
( ( Y2 @ Y6 )
=> ( Y4 @ ( '#sk2' @ Y6 ) ) ) )
& ( !!
@ ^ [Y6: b] :
( !!
@ ^ [Y7: b] :
( ( ( Y2 @ Y7 )
& ( Y2 @ Y6 ) )
=> ( ( '#sk2' @ ( Y3 @ Y6 @ Y7 ) )
= ( Y5 @ ( '#sk2' @ Y6 ) @ ( '#sk2' @ Y7 ) ) ) ) ) )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 )
& ( Y4 @ Y6 ) )
=> ( Y4 @ ( Y5 @ Y6 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y6: b] :
( !!
@ ^ [Y7: b] :
( ( ( Y2 @ Y7 )
& ( Y2 @ Y6 ) )
=> ( Y2 @ ( Y3 @ Y6 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y6: g] :
( !!
@ ^ [Y7: g] :
( ( ( Y0 @ Y7 )
& ( Y0 @ Y6 ) )
=> ( ( '#sk1' @ ( Y1 @ Y6 @ Y7 ) )
= ( Y3 @ ( '#sk1' @ Y6 ) @ ( '#sk1' @ Y7 ) ) ) ) ) )
& ( !!
@ ^ [Y6: g] :
( !!
@ ^ [Y7: g] :
( ( ( Y0 @ Y7 )
& ( Y0 @ Y6 ) )
=> ( Y0 @ ( Y1 @ Y6 @ Y7 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y6: g] :
( !!
@ ^ [Y7: g] :
( ( ( Y0 @ Y6 )
& ( Y0 @ Y7 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( Y1 @ Y6 @ Y7 ) ) )
= ( Y5 @ ( '#sk2' @ ( '#sk1' @ Y6 ) ) @ ( '#sk2' @ ( '#sk1' @ Y7 ) ) ) ) ) ) )
& ( !!
@ ^ [Y6: g] :
( ( Y0 @ Y6 )
=> ( Y4 @ ( '#sk2' @ ( '#sk1' @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y6: a] :
( !!
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 )
& ( Y4 @ Y6 ) )
=> ( Y4 @ ( Y5 @ Y6 @ Y7 ) ) ) ) )
& ( !!
@ ^ [Y6: g] :
( !!
@ ^ [Y7: g] :
( ( ( Y0 @ Y7 )
& ( Y0 @ Y6 ) )
=> ( Y0 @ ( Y1 @ Y6 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: g > g > g] :
( !!
@ ^ [Y1: b > $o] :
( !!
@ ^ [Y2: b > b > b] :
( !!
@ ^ [Y3: a > $o] :
( !!
@ ^ [Y4: a > a > a] :
( ( ( !!
@ ^ [Y5: g] :
( ( '#sk3' @ Y5 )
=> ( Y1 @ ( '#sk1' @ Y5 ) ) ) )
& ( !!
@ ^ [Y5: b] :
( ( Y1 @ Y5 )
=> ( Y3 @ ( '#sk2' @ Y5 ) ) ) )
& ( !!
@ ^ [Y5: b] :
( !!
@ ^ [Y6: b] :
( ( ( Y1 @ Y6 )
& ( Y1 @ Y5 ) )
=> ( ( '#sk2' @ ( Y2 @ Y5 @ Y6 ) )
= ( Y4 @ ( '#sk2' @ Y5 ) @ ( '#sk2' @ Y6 ) ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 )
& ( Y3 @ Y5 ) )
=> ( Y3 @ ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y5: b] :
( !!
@ ^ [Y6: b] :
( ( ( Y1 @ Y6 )
& ( Y1 @ Y5 ) )
=> ( Y1 @ ( Y2 @ Y5 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y5: g] :
( !!
@ ^ [Y6: g] :
( ( ( '#sk3' @ Y6 )
& ( '#sk3' @ Y5 ) )
=> ( ( '#sk1' @ ( Y0 @ Y5 @ Y6 ) )
= ( Y2 @ ( '#sk1' @ Y5 ) @ ( '#sk1' @ Y6 ) ) ) ) ) )
& ( !!
@ ^ [Y5: g] :
( !!
@ ^ [Y6: g] :
( ( ( '#sk3' @ Y6 )
& ( '#sk3' @ Y5 ) )
=> ( '#sk3' @ ( Y0 @ Y5 @ Y6 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y5: g] :
( !!
@ ^ [Y6: g] :
( ( ( '#sk3' @ Y5 )
& ( '#sk3' @ Y6 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( Y0 @ Y5 @ Y6 ) ) )
= ( Y4 @ ( '#sk2' @ ( '#sk1' @ Y5 ) ) @ ( '#sk2' @ ( '#sk1' @ Y6 ) ) ) ) ) ) )
& ( !!
@ ^ [Y5: g] :
( ( '#sk3' @ Y5 )
=> ( Y3 @ ( '#sk2' @ ( '#sk1' @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y5: a] :
( !!
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 )
& ( Y3 @ Y5 ) )
=> ( Y3 @ ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !!
@ ^ [Y5: g] :
( !!
@ ^ [Y6: g] :
( ( ( '#sk3' @ Y6 )
& ( '#sk3' @ Y5 ) )
=> ( '#sk3' @ ( Y0 @ Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: b > $o] :
( !!
@ ^ [Y1: b > b > b] :
( !!
@ ^ [Y2: a > $o] :
( !!
@ ^ [Y3: a > a > a] :
( ( ( !!
@ ^ [Y4: g] :
( ( '#sk3' @ Y4 )
=> ( Y0 @ ( '#sk1' @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: b] :
( ( Y0 @ Y4 )
=> ( Y2 @ ( '#sk2' @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: b] :
( !!
@ ^ [Y5: b] :
( ( ( Y0 @ Y5 )
& ( Y0 @ Y4 ) )
=> ( ( '#sk2' @ ( Y1 @ Y4 @ Y5 ) )
= ( Y3 @ ( '#sk2' @ Y4 ) @ ( '#sk2' @ Y5 ) ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 )
& ( Y2 @ Y4 ) )
=> ( Y2 @ ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y4: b] :
( !!
@ ^ [Y5: b] :
( ( ( Y0 @ Y5 )
& ( Y0 @ Y4 ) )
=> ( Y0 @ ( Y1 @ Y4 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y4: g] :
( !!
@ ^ [Y5: g] :
( ( ( '#sk3' @ Y5 )
& ( '#sk3' @ Y4 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y4 @ Y5 ) )
= ( Y1 @ ( '#sk1' @ Y4 ) @ ( '#sk1' @ Y5 ) ) ) ) ) )
& ( !!
@ ^ [Y4: g] :
( !!
@ ^ [Y5: g] :
( ( ( '#sk3' @ Y5 )
& ( '#sk3' @ Y4 ) )
=> ( '#sk3' @ ( '#sk4' @ Y4 @ Y5 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y4: g] :
( !!
@ ^ [Y5: g] :
( ( ( '#sk3' @ Y4 )
& ( '#sk3' @ Y5 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y4 @ Y5 ) ) )
= ( Y3 @ ( '#sk2' @ ( '#sk1' @ Y4 ) ) @ ( '#sk2' @ ( '#sk1' @ Y5 ) ) ) ) ) ) )
& ( !!
@ ^ [Y4: g] :
( ( '#sk3' @ Y4 )
=> ( Y2 @ ( '#sk2' @ ( '#sk1' @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y4: a] :
( !!
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 )
& ( Y2 @ Y4 ) )
=> ( Y2 @ ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y4: g] :
( !!
@ ^ [Y5: g] :
( ( ( '#sk3' @ Y5 )
& ( '#sk3' @ Y4 ) )
=> ( '#sk3' @ ( '#sk4' @ Y4 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl6,plain,
~ ( !!
@ ^ [Y0: b > b > b] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > a > a] :
( ( ( !!
@ ^ [Y3: g] :
( ( '#sk3' @ Y3 )
=> ( '#sk5' @ ( '#sk1' @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: b] :
( ( '#sk5' @ Y3 )
=> ( Y1 @ ( '#sk2' @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: b] :
( !!
@ ^ [Y4: b] :
( ( ( '#sk5' @ Y4 )
& ( '#sk5' @ Y3 ) )
=> ( ( '#sk2' @ ( Y0 @ Y3 @ Y4 ) )
= ( Y2 @ ( '#sk2' @ Y3 ) @ ( '#sk2' @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 )
& ( Y1 @ Y3 ) )
=> ( Y1 @ ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: b] :
( !!
@ ^ [Y4: b] :
( ( ( '#sk5' @ Y4 )
& ( '#sk5' @ Y3 ) )
=> ( '#sk5' @ ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( ( '#sk3' @ Y4 )
& ( '#sk3' @ Y3 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y3 @ Y4 ) )
= ( Y0 @ ( '#sk1' @ Y3 ) @ ( '#sk1' @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( ( '#sk3' @ Y4 )
& ( '#sk3' @ Y3 ) )
=> ( '#sk3' @ ( '#sk4' @ Y3 @ Y4 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( ( '#sk3' @ Y3 )
& ( '#sk3' @ Y4 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y3 @ Y4 ) ) )
= ( Y2 @ ( '#sk2' @ ( '#sk1' @ Y3 ) ) @ ( '#sk2' @ ( '#sk1' @ Y4 ) ) ) ) ) ) )
& ( !!
@ ^ [Y3: g] :
( ( '#sk3' @ Y3 )
=> ( Y1 @ ( '#sk2' @ ( '#sk1' @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 )
& ( Y1 @ Y3 ) )
=> ( Y1 @ ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: g] :
( !!
@ ^ [Y4: g] :
( ( ( '#sk3' @ Y4 )
& ( '#sk3' @ Y3 ) )
=> ( '#sk3' @ ( '#sk4' @ Y3 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: g] :
( ( '#sk3' @ Y2 )
=> ( '#sk5' @ ( '#sk1' @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: b] :
( ( '#sk5' @ Y2 )
=> ( Y0 @ ( '#sk2' @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( '#sk5' @ Y3 )
& ( '#sk5' @ Y2 ) )
=> ( ( '#sk2' @ ( '#sk6' @ Y2 @ Y3 ) )
= ( Y1 @ ( '#sk2' @ Y2 ) @ ( '#sk2' @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( '#sk5' @ Y3 )
& ( '#sk5' @ Y2 ) )
=> ( '#sk5' @ ( '#sk6' @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( ( '#sk3' @ Y3 )
& ( '#sk3' @ Y2 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y2 @ Y3 ) )
= ( '#sk6' @ ( '#sk1' @ Y2 ) @ ( '#sk1' @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( ( '#sk3' @ Y3 )
& ( '#sk3' @ Y2 ) )
=> ( '#sk3' @ ( '#sk4' @ Y2 @ Y3 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( ( '#sk3' @ Y2 )
& ( '#sk3' @ Y3 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y2 @ Y3 ) ) )
= ( Y1 @ ( '#sk2' @ ( '#sk1' @ Y2 ) ) @ ( '#sk2' @ ( '#sk1' @ Y3 ) ) ) ) ) ) )
& ( !!
@ ^ [Y2: g] :
( ( '#sk3' @ Y2 )
=> ( Y0 @ ( '#sk2' @ ( '#sk1' @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 )
& ( Y0 @ Y2 ) )
=> ( Y0 @ ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y2: g] :
( !!
@ ^ [Y3: g] :
( ( ( '#sk3' @ Y3 )
& ( '#sk3' @ Y2 ) )
=> ( '#sk3' @ ( '#sk4' @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( ( ( !!
@ ^ [Y1: g] :
( ( '#sk3' @ Y1 )
=> ( '#sk5' @ ( '#sk1' @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: b] :
( ( '#sk5' @ Y1 )
=> ( '#sk7' @ ( '#sk2' @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( '#sk5' @ Y2 )
& ( '#sk5' @ Y1 ) )
=> ( ( '#sk2' @ ( '#sk6' @ Y1 @ Y2 ) )
= ( Y0 @ ( '#sk2' @ Y1 ) @ ( '#sk2' @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk7' @ Y2 )
& ( '#sk7' @ Y1 ) )
=> ( '#sk7' @ ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( '#sk5' @ Y2 )
& ( '#sk5' @ Y1 ) )
=> ( '#sk5' @ ( '#sk6' @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( ( '#sk3' @ Y2 )
& ( '#sk3' @ Y1 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y1 @ Y2 ) )
= ( '#sk6' @ ( '#sk1' @ Y1 ) @ ( '#sk1' @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( ( '#sk3' @ Y2 )
& ( '#sk3' @ Y1 ) )
=> ( '#sk3' @ ( '#sk4' @ Y1 @ Y2 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y2 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y1 @ Y2 ) ) )
= ( Y0 @ ( '#sk2' @ ( '#sk1' @ Y1 ) ) @ ( '#sk2' @ ( '#sk1' @ Y2 ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: g] :
( ( '#sk3' @ Y1 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk7' @ Y2 )
& ( '#sk7' @ Y1 ) )
=> ( '#sk7' @ ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y1: g] :
( !!
@ ^ [Y2: g] :
( ( ( '#sk3' @ Y2 )
& ( '#sk3' @ Y1 ) )
=> ( '#sk3' @ ( '#sk4' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk5' @ ( '#sk1' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: b] :
( ( '#sk5' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk5' @ Y1 )
& ( '#sk5' @ Y0 ) )
=> ( ( '#sk2' @ ( '#sk6' @ Y0 @ Y1 ) )
= ( '#sk8' @ ( '#sk2' @ Y0 ) @ ( '#sk2' @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk5' @ Y1 )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) )
= ( '#sk6' @ ( '#sk1' @ Y0 ) @ ( '#sk1' @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) )
=> ( ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ Y1 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) ) )
= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) @ ( '#sk2' @ ( '#sk1' @ Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk5' @ ( '#sk1' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: b] :
( ( '#sk5' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk5' @ Y1 )
& ( '#sk5' @ Y0 ) )
=> ( ( '#sk2' @ ( '#sk6' @ Y0 @ Y1 ) )
= ( '#sk8' @ ( '#sk2' @ Y0 ) @ ( '#sk2' @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk5' @ Y1 )
& ( '#sk5' @ Y0 ) )
=> ( '#sk5' @ ( '#sk6' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) )
= ( '#sk6' @ ( '#sk1' @ Y0 ) @ ( '#sk1' @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk5' @ ( '#sk1' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: g] :
( ( '#sk3' @ X2 )
=> ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl28,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28_001,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl26,plain,
! [X2: g] :
( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ X2 ) )
=> ( '#sk3' @ ( '#sk4' @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl34,plain,
! [X2: g,X4: g] :
( ( ( '#sk3' @ X4 )
& ( '#sk3' @ X2 ) )
=> ( '#sk3' @ ( '#sk4' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl40,plain,
! [X2: g,X4: g] :
( ~ ( ( '#sk3' @ X4 )
& ( '#sk3' @ X2 ) )
| ( '#sk3' @ ( '#sk4' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl49,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl17,plain,
( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) )
= ( '#sk6' @ ( '#sk1' @ Y0 ) @ ( '#sk1' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl25,plain,
! [X2: g] :
( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ X2 ) )
=> ( ( '#sk1' @ ( '#sk4' @ X2 @ Y0 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl33,plain,
! [X2: g,X4: g] :
( ( ( '#sk3' @ X4 )
& ( '#sk3' @ X2 ) )
=> ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl39,plain,
! [X2: g,X4: g] :
( ~ ( ( '#sk3' @ X4 )
& ( '#sk3' @ X2 ) )
| ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl47,plain,
! [X2: g,X4: g] :
( ~ ( ( '#sk3' @ X4 )
& ( '#sk3' @ X2 ) )
| ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl48,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( '#sk5' @ Y1 )
& ( '#sk5' @ Y0 ) )
=> ( ( '#sk2' @ ( '#sk6' @ Y0 @ Y1 ) )
= ( '#sk8' @ ( '#sk2' @ Y0 ) @ ( '#sk2' @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X2: b] :
( !!
@ ^ [Y0: b] :
( ( ( '#sk5' @ Y0 )
& ( '#sk5' @ X2 ) )
=> ( ( '#sk2' @ ( '#sk6' @ X2 @ Y0 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
! [X2: b,X4: b] :
( ( ( '#sk5' @ X4 )
& ( '#sk5' @ X2 ) )
=> ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl36,plain,
! [X2: b,X4: b] :
( ~ ( ( '#sk5' @ X4 )
& ( '#sk5' @ X2 ) )
| ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl43,plain,
! [X2: b,X4: b] :
( ~ ( ( '#sk5' @ X4 )
& ( '#sk5' @ X2 ) )
| ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl44,plain,
! [X2: b,X4: b] :
( ~ ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 )
| ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl11,plain,
~ ( ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ Y1 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) ) )
= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) @ ( '#sk2' @ ( '#sk1' @ Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl19,plain,
( ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ Y1 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ Y0 @ Y1 ) ) )
= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) @ ( '#sk2' @ ( '#sk1' @ Y1 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl27,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ '#sk9' )
& ( '#sk3' @ Y0 ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ Y0 ) ) )
= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl35,plain,
( ~ ( ( ( '#sk3' @ '#sk9' )
& ( '#sk3' @ '#sk10' ) )
=> ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl42,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl52,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl53,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl41,plain,
( ( ( '#sk3' @ '#sk9' )
& ( '#sk3' @ '#sk10' ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl50,plain,
( ( '#sk3' @ '#sk9' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl54,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl58,plain,
( ~ '#form12'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ Y0 ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl53,zip_derived_cl54]) ).
thf(zip_derived_cl50_002,plain,
( ( '#sk3' @ '#sk9' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl54_003,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl56,plain,
( ~ '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk3' @ '#sk9' ) ),
inference(renaming,[status(thm)],[zip_derived_cl50,zip_derived_cl54]) ).
thf(zip_derived_cl59,plain,
( '#form14'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl65,plain,
( ~ '#form14'
| ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ Y0 ) ) ) )
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl58,zip_derived_cl59]) ).
thf(zip_derived_cl69,plain,
( ~ ( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) ) )
| ~ '#form12'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form14' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl75,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ~ '#form14'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( ( '#sk7' @ Y0 )
& ( '#sk7' @ X2 ) )
=> ( '#sk7' @ ( '#sk8' @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl31,plain,
! [X2: a,X4: a] :
( ( ( '#sk7' @ X4 )
& ( '#sk7' @ X2 ) )
=> ( '#sk7' @ ( '#sk8' @ X2 @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a] :
( ~ ( ( '#sk7' @ X4 )
& ( '#sk7' @ X2 ) )
| ( '#sk7' @ ( '#sk8' @ X2 @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: a] :
( ~ ( '#sk7' @ X4 )
| ~ ( '#sk7' @ X2 )
| ( '#sk7' @ ( '#sk8' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl59_004,plain,
( '#form14'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl60,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( ( '#sk7' @ Y0 )
& ( '#sk7' @ '#sk15' ) )
=> ( '#sk7' @ ( '#sk8' @ '#sk15' @ Y0 ) ) ) )
| '#form14' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl67,plain,
( ~ ( ( ( '#sk7' @ '#sk16' )
& ( '#sk7' @ '#sk15' ) )
=> ( '#sk7' @ ( '#sk8' @ '#sk15' @ '#sk16' ) ) )
| '#form14' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl72,plain,
( ~ ( '#sk7' @ ( '#sk8' @ '#sk15' @ '#sk16' ) )
| '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl103,plain,
( ~ ( '#sk7' @ '#sk15' )
| ~ ( '#sk7' @ '#sk16' )
| '#form14' ),
inference('sup-',[status(thm)],[zip_derived_cl45,zip_derived_cl72]) ).
thf(zip_derived_cl71,plain,
( ( ( '#sk7' @ '#sk16' )
& ( '#sk7' @ '#sk15' ) )
| '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl79,plain,
( ( '#sk7' @ '#sk15' )
| '#form14' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl109,plain,
( '#form14'
| ~ ( '#sk7' @ '#sk16' ) ),
inference(clc,[status(thm)],[zip_derived_cl103,zip_derived_cl79]) ).
thf(zip_derived_cl78,plain,
( ( '#sk7' @ '#sk16' )
| '#form14' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl110,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl54_005,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl55,plain,
( ~ ( ( '#sk3' @ '#sk13' )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ '#sk13' ) ) ) )
| '#form12' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl63,plain,
( ~ ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ '#sk13' ) ) )
| '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: b] :
( ( '#sk5' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl21,plain,
! [X2: b] :
( ( '#sk5' @ X2 )
=> ( '#sk7' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl29,plain,
! [X2: b] :
( ~ ( '#sk5' @ X2 )
| ( '#sk7' @ ( '#sk2' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl88,plain,
( '#form12'
| ~ ( '#sk5' @ ( '#sk1' @ '#sk13' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl29]) ).
thf(zip_derived_cl28_006,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl92,plain,
( '#form12'
| ~ ( '#sk3' @ '#sk13' ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl28]) ).
thf(zip_derived_cl62,plain,
( ( '#sk3' @ '#sk13' )
| '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl96,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl143,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl110,zip_derived_cl96]) ).
thf(zip_derived_cl144,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk6' @ ( '#sk1' @ '#sk9' ) @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl143]) ).
thf(zip_derived_cl194,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ~ ( '#sk3' @ '#sk9' )
| ~ ( '#sk3' @ '#sk10' )
| ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl144]) ).
thf(zip_derived_cl49_007,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl56_008,plain,
( ~ '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk3' @ '#sk9' ) ),
inference(renaming,[status(thm)],[zip_derived_cl50,zip_derived_cl54]) ).
thf(zip_derived_cl59_009,plain,
( '#form14'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl61,plain,
( ~ '#form14'
| ( '#sk3' @ '#sk9' )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl56,zip_derived_cl59]) ).
thf(zip_derived_cl66,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ Y0 ) ) ) )
| ~ '#form12'
| ( '#sk3' @ '#sk9' )
| ~ '#form14' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl70,plain,
( ~ ( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) ) )
| ~ '#form14'
| ( '#sk3' @ '#sk9' )
| ~ '#form12' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl77,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ~ '#form12'
| ( '#sk3' @ '#sk9' )
| ~ '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl96_010,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl98,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ( '#sk3' @ '#sk9' )
| ~ '#form14' ),
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl96]) ).
thf(zip_derived_cl110_011,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl112,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ( '#sk3' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl110]) ).
thf(zip_derived_cl118,plain,
( ~ ( '#sk3' @ '#sk11' )
| ~ ( '#sk3' @ '#sk17' )
| ( '#sk3' @ '#sk9' ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl112]) ).
thf(zip_derived_cl76,plain,
( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
| ~ '#form12'
| ( '#sk3' @ '#sk9' )
| ~ '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl85,plain,
( ( '#sk3' @ '#sk11' )
| ~ '#form14'
| ( '#sk3' @ '#sk9' )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl96_012,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl100,plain,
( ( '#sk3' @ '#sk11' )
| ~ '#form14'
| ( '#sk3' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl96]) ).
thf(zip_derived_cl110_013,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl114,plain,
( ( '#sk3' @ '#sk11' )
| ( '#sk3' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl110]) ).
thf(zip_derived_cl127,plain,
( ( '#sk3' @ '#sk9' )
| ~ ( '#sk3' @ '#sk17' ) ),
inference(clc,[status(thm)],[zip_derived_cl118,zip_derived_cl114]) ).
thf(zip_derived_cl84,plain,
( ( '#sk3' @ '#sk17' )
| ~ '#form14'
| ( '#sk3' @ '#sk9' )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl96_014,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl97,plain,
( ( '#sk3' @ '#sk17' )
| ~ '#form14'
| ( '#sk3' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl96]) ).
thf(zip_derived_cl110_015,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl111,plain,
( ( '#sk3' @ '#sk17' )
| ( '#sk3' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl110]) ).
thf(zip_derived_cl128,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl49_016,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl51,plain,
( ( '#sk3' @ '#sk10' )
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl54_017,plain,
( '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( ( '#sk3' @ Y0 )
=> ( '#sk7' @ ( '#sk2' @ ( '#sk1' @ Y0 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl57,plain,
( ~ '#form12'
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) )
| ( '#sk3' @ '#sk10' ) ),
inference(renaming,[status(thm)],[zip_derived_cl51,zip_derived_cl54]) ).
thf(zip_derived_cl59_018,plain,
( '#form14'
| ~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( '#sk7' @ Y1 )
& ( '#sk7' @ Y0 ) )
=> ( '#sk7' @ ( '#sk8' @ Y0 @ Y1 ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl64,plain,
( ~ '#form14'
| ( '#sk3' @ '#sk10' )
| ~ ( !!
@ ^ [Y0: g] :
( !!
@ ^ [Y1: g] :
( ( ( '#sk3' @ Y1 )
& ( '#sk3' @ Y0 ) )
=> ( '#sk3' @ ( '#sk4' @ Y0 @ Y1 ) ) ) ) )
| ~ '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl57,zip_derived_cl59]) ).
thf(zip_derived_cl68,plain,
( ~ ( !!
@ ^ [Y0: g] :
( ( ( '#sk3' @ Y0 )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ Y0 ) ) ) )
| ~ '#form12'
| ( '#sk3' @ '#sk10' )
| ~ '#form14' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl73,plain,
( ~ ( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
=> ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) ) )
| ~ '#form14'
| ( '#sk3' @ '#sk10' )
| ~ '#form12' ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl81,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ~ '#form12'
| ( '#sk3' @ '#sk10' )
| ~ '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl96_019,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl99,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ( '#sk3' @ '#sk10' )
| ~ '#form14' ),
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl96]) ).
thf(zip_derived_cl110_020,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl113,plain,
( ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ( '#sk3' @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl110]) ).
thf(zip_derived_cl117,plain,
( ~ ( '#sk3' @ '#sk11' )
| ~ ( '#sk3' @ '#sk17' )
| ( '#sk3' @ '#sk10' ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl113]) ).
thf(zip_derived_cl80,plain,
( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
| ~ '#form12'
| ( '#sk3' @ '#sk10' )
| ~ '#form14' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl87,plain,
( ( '#sk3' @ '#sk11' )
| ~ '#form14'
| ( '#sk3' @ '#sk10' )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl96_021,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl102,plain,
( ( '#sk3' @ '#sk11' )
| ~ '#form14'
| ( '#sk3' @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl96]) ).
thf(zip_derived_cl110_022,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl116,plain,
( ( '#sk3' @ '#sk11' )
| ( '#sk3' @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl102,zip_derived_cl110]) ).
thf(zip_derived_cl125,plain,
( ( '#sk3' @ '#sk10' )
| ~ ( '#sk3' @ '#sk17' ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl116]) ).
thf(zip_derived_cl86,plain,
( ( '#sk3' @ '#sk17' )
| ~ '#form14'
| ( '#sk3' @ '#sk10' )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl96_023,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl101,plain,
( ( '#sk3' @ '#sk17' )
| ~ '#form14'
| ( '#sk3' @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl96]) ).
thf(zip_derived_cl110_024,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl115,plain,
( ( '#sk3' @ '#sk17' )
| ( '#sk3' @ '#sk10' ) ),
inference(demod,[status(thm)],[zip_derived_cl101,zip_derived_cl110]) ).
thf(zip_derived_cl126,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl196,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl128,zip_derived_cl126]) ).
thf(zip_derived_cl197,plain,
( ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk3' @ ( '#sk4' @ '#sk11' @ '#sk17' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl196]) ).
thf(zip_derived_cl201,plain,
( ~ ( '#sk3' @ '#sk11' )
| ~ ( '#sk3' @ '#sk17' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl197]) ).
thf(zip_derived_cl28_025,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28_026,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl48_027,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl44_028,plain,
! [X2: b,X4: b] :
( ~ ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 )
| ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl74,plain,
( ( ( '#sk3' @ '#sk17' )
& ( '#sk3' @ '#sk11' ) )
| ~ '#form14'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form12' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl83,plain,
( ( '#sk3' @ '#sk11' )
| ~ '#form12'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form14' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl96_029,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl110_030,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl140,plain,
( ( '#sk3' @ '#sk11' )
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl96,zip_derived_cl110]) ).
thf(zip_derived_cl141,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk6' @ ( '#sk1' @ '#sk9' ) @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ( '#sk3' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl140]) ).
thf(zip_derived_cl168,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ~ ( '#sk3' @ '#sk9' )
| ~ ( '#sk3' @ '#sk10' )
| ( '#sk3' @ '#sk11' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl141]) ).
thf(zip_derived_cl128_031,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl126_032,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl170,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ( '#sk3' @ '#sk11' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl128,zip_derived_cl126]) ).
thf(zip_derived_cl171,plain,
( ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ( '#sk3' @ '#sk11' ) ),
inference(simplify,[status(thm)],[zip_derived_cl170]) ).
thf(zip_derived_cl174,plain,
( ~ ( '#sk3' @ '#sk9' )
| ( '#sk3' @ '#sk11' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl171]) ).
thf(zip_derived_cl128_033,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl176,plain,
( ( '#sk3' @ '#sk11' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl128]) ).
thf(zip_derived_cl179,plain,
( ~ ( '#sk3' @ '#sk10' )
| ( '#sk3' @ '#sk11' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl176]) ).
thf(zip_derived_cl126_034,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl182,plain,
'#sk3' @ '#sk11',
inference(demod,[status(thm)],[zip_derived_cl179,zip_derived_cl126]) ).
thf(zip_derived_cl28_035,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28_036,plain,
! [X2: g] :
( ~ ( '#sk3' @ X2 )
| ( '#sk5' @ ( '#sk1' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl48_037,plain,
! [X2: g,X4: g] :
( ~ ( '#sk3' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( ( '#sk1' @ ( '#sk4' @ X2 @ X4 ) )
= ( '#sk6' @ ( '#sk1' @ X2 ) @ ( '#sk1' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl44_038,plain,
! [X2: b,X4: b] :
( ~ ( '#sk5' @ X4 )
| ~ ( '#sk5' @ X2 )
| ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
= ( '#sk8' @ ( '#sk2' @ X2 ) @ ( '#sk2' @ X4 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl82,plain,
( ( '#sk3' @ '#sk17' )
| ~ '#form12'
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ '#form14' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl96_039,plain,
'#form12',
inference(clc,[status(thm)],[zip_derived_cl92,zip_derived_cl62]) ).
thf(zip_derived_cl110_040,plain,
'#form14',
inference(clc,[status(thm)],[zip_derived_cl109,zip_derived_cl78]) ).
thf(zip_derived_cl137,plain,
( ( '#sk3' @ '#sk17' )
| ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk8' @ ( '#sk2' @ ( '#sk1' @ '#sk9' ) ) @ ( '#sk2' @ ( '#sk1' @ '#sk10' ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl96,zip_derived_cl110]) ).
thf(zip_derived_cl138,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk6' @ ( '#sk1' @ '#sk9' ) @ ( '#sk1' @ '#sk10' ) ) ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ( '#sk3' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl137]) ).
thf(zip_derived_cl146,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ~ ( '#sk3' @ '#sk9' )
| ~ ( '#sk3' @ '#sk10' )
| ( '#sk3' @ '#sk17' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl138]) ).
thf(zip_derived_cl128_041,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl126_042,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl148,plain,
( ( ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) )
!= ( '#sk2' @ ( '#sk1' @ ( '#sk4' @ '#sk9' @ '#sk10' ) ) ) )
| ( '#sk3' @ '#sk17' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl128,zip_derived_cl126]) ).
thf(zip_derived_cl149,plain,
( ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ( '#sk3' @ '#sk17' ) ),
inference(simplify,[status(thm)],[zip_derived_cl148]) ).
thf(zip_derived_cl152,plain,
( ~ ( '#sk3' @ '#sk9' )
| ( '#sk3' @ '#sk17' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl149]) ).
thf(zip_derived_cl128_043,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl154,plain,
( ( '#sk3' @ '#sk17' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl128]) ).
thf(zip_derived_cl157,plain,
( ~ ( '#sk3' @ '#sk10' )
| ( '#sk3' @ '#sk17' ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl154]) ).
thf(zip_derived_cl126_044,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl160,plain,
'#sk3' @ '#sk17',
inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl126]) ).
thf(zip_derived_cl204,plain,
( ~ ( '#sk5' @ ( '#sk1' @ '#sk10' ) )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl182,zip_derived_cl160]) ).
thf(zip_derived_cl208,plain,
( ~ ( '#sk3' @ '#sk10' )
| ~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl204]) ).
thf(zip_derived_cl126_045,plain,
'#sk3' @ '#sk10',
inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl115]) ).
thf(zip_derived_cl210,plain,
~ ( '#sk5' @ ( '#sk1' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl208,zip_derived_cl126]) ).
thf(zip_derived_cl213,plain,
~ ( '#sk3' @ '#sk9' ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl210]) ).
thf(zip_derived_cl128_046,plain,
'#sk3' @ '#sk9',
inference(clc,[status(thm)],[zip_derived_cl127,zip_derived_cl111]) ).
thf(zip_derived_cl216,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl213,zip_derived_cl128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO228^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xScIMWNkM9 true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 05:02:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % 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
% 0.13/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.85 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.89 % Solved by lams/35_full_unif4.sh.
% 0.58/0.89 % done 60 iterations in 0.080s
% 0.58/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.89 % SZS output start Refutation
% See solution above
% 0.58/0.90
% 0.58/0.90
% 0.58/0.90 % Terminating...
% 1.89/0.96 % Runner terminated.
% 1.89/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------