TSTP Solution File: SYO388^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO388^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m9krlIRKhT true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 05:50:57 EDT 2023
% Result : Theorem 0.88s 1.15s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 17
% Syntax : Number of formulae : 145 ( 21 unt; 16 typ; 0 def)
% Number of atoms : 960 ( 0 equ; 184 cnn)
% Maximal formula atoms : 131 ( 7 avg)
% Number of connectives : 2995 ( 395 ~; 380 |; 93 &;1953 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 7 con; 0-3 aty)
% ( 174 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 576 ( 174 ^; 402 !; 0 ?; 576 :)
% Comments :
%------------------------------------------------------------------------------
thf(cQ_2_type,type,
cQ_2: $i > $i > $i > $o ).
thf(d_type,type,
d: $i ).
thf(cQ_3_type,type,
cQ_3: $i > $i > $i > $o ).
thf(cQ_6_type,type,
cQ_6: $i > $i > $i > $o ).
thf(cP_4_type,type,
cP_4: $i > $i > $o ).
thf(cQ_1_type,type,
cQ_1: $i > $i > $i > $o ).
thf(cP_5_type,type,
cP_5: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(cQ_4_type,type,
cQ_4: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(c_type,type,
c: $i ).
thf(cQ_5_type,type,
cQ_5: $i > $i > $i > $o ).
thf(cP_3_type,type,
cP_3: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(cP_2_type,type,
cP_2: $i > $i > $o ).
thf(cP_1_type,type,
cP_1: $i > $i > $o ).
thf(cTHM409_5,conjecture,
~ ( ! [Xx: $i,Xy: $i,Xz: $i] :
~ ( cQ_6 @ Xx @ Xy @ Xz )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_5 @ Xx @ Xy @ Xz )
| ~ ( cP_5 @ ( f @ Xx ) @ Xu )
| ~ ( cP_5 @ ( f @ Xy ) @ Xv )
| ~ ( cP_5 @ ( f @ Xz ) @ Xw )
| ( cQ_6 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_5 @ Xx @ Xy )
| ( cP_5 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_5 @ d @ Xx )
& ( cP_5 @ c @ c )
& ( cP_5 @ b @ b )
& ( cP_5 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_4 @ Xx @ Xy @ Xz )
| ~ ( cP_4 @ ( f @ Xx ) @ Xu )
| ~ ( cP_4 @ ( f @ Xy ) @ Xv )
| ~ ( cP_4 @ ( f @ Xz ) @ Xw )
| ( cQ_5 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_4 @ Xx @ Xy )
| ( cP_4 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_4 @ d @ Xx )
& ( cP_4 @ c @ c )
& ( cP_4 @ b @ b )
& ( cP_4 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_3 @ Xx @ Xy @ Xz )
| ~ ( cP_3 @ ( f @ Xx ) @ Xu )
| ~ ( cP_3 @ ( f @ Xy ) @ Xv )
| ~ ( cP_3 @ ( f @ Xz ) @ Xw )
| ( cQ_4 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_3 @ Xx @ Xy )
| ( cP_3 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_3 @ d @ Xx )
& ( cP_3 @ c @ c )
& ( cP_3 @ b @ b )
& ( cP_3 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_2 @ Xx @ Xy @ Xz )
| ~ ( cP_2 @ ( f @ Xx ) @ Xu )
| ~ ( cP_2 @ ( f @ Xy ) @ Xv )
| ~ ( cP_2 @ ( f @ Xz ) @ Xw )
| ( cQ_3 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_2 @ Xx @ Xy )
| ( cP_2 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_2 @ d @ Xx )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_1 @ Xx @ Xy @ Xz )
| ~ ( cP_1 @ ( f @ Xx ) @ Xu )
| ~ ( cP_1 @ ( f @ Xy ) @ Xv )
| ~ ( cP_1 @ ( f @ Xz ) @ Xw )
| ( cQ_2 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_1 @ Xx @ Xy )
| ( cP_1 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_1 @ d @ Xx )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ! [Xx: $i,Xy: $i,Xz: $i] :
~ ( cQ_6 @ Xx @ Xy @ Xz )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_5 @ Xx @ Xy @ Xz )
| ~ ( cP_5 @ ( f @ Xx ) @ Xu )
| ~ ( cP_5 @ ( f @ Xy ) @ Xv )
| ~ ( cP_5 @ ( f @ Xz ) @ Xw )
| ( cQ_6 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_5 @ Xx @ Xy )
| ( cP_5 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_5 @ d @ Xx )
& ( cP_5 @ c @ c )
& ( cP_5 @ b @ b )
& ( cP_5 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_4 @ Xx @ Xy @ Xz )
| ~ ( cP_4 @ ( f @ Xx ) @ Xu )
| ~ ( cP_4 @ ( f @ Xy ) @ Xv )
| ~ ( cP_4 @ ( f @ Xz ) @ Xw )
| ( cQ_5 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_4 @ Xx @ Xy )
| ( cP_4 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_4 @ d @ Xx )
& ( cP_4 @ c @ c )
& ( cP_4 @ b @ b )
& ( cP_4 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_3 @ Xx @ Xy @ Xz )
| ~ ( cP_3 @ ( f @ Xx ) @ Xu )
| ~ ( cP_3 @ ( f @ Xy ) @ Xv )
| ~ ( cP_3 @ ( f @ Xz ) @ Xw )
| ( cQ_4 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_3 @ Xx @ Xy )
| ( cP_3 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_3 @ d @ Xx )
& ( cP_3 @ c @ c )
& ( cP_3 @ b @ b )
& ( cP_3 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_2 @ Xx @ Xy @ Xz )
| ~ ( cP_2 @ ( f @ Xx ) @ Xu )
| ~ ( cP_2 @ ( f @ Xy ) @ Xv )
| ~ ( cP_2 @ ( f @ Xz ) @ Xw )
| ( cQ_3 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_2 @ Xx @ Xy )
| ( cP_2 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_2 @ d @ Xx )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i,Xv: $i,Xw: $i] :
( ~ ( cQ_1 @ Xx @ Xy @ Xz )
| ~ ( cP_1 @ ( f @ Xx ) @ Xu )
| ~ ( cP_1 @ ( f @ Xy ) @ Xv )
| ~ ( cP_1 @ ( f @ Xz ) @ Xw )
| ( cQ_2 @ Xu @ Xv @ Xw ) )
& ! [Xx: $i,Xy: $i] :
( ~ ( cP_1 @ Xx @ Xy )
| ( cP_1 @ ( f @ Xx ) @ Xy ) )
& ! [Xx: $i] : ( cP_1 @ d @ Xx )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ),
inference('cnf.neg',[status(esa)],[cTHM409_5]) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_6 @ Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_5 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_5 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_5 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_5 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_6 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_5 @ Y0 @ Y1 ) )
| ( cP_5 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_5 @ d @ Y0 ) )
& ( cP_5 @ c @ c )
& ( cP_5 @ b @ b )
& ( cP_5 @ a @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_4 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_4 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_4 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_4 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_5 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_4 @ Y0 @ Y1 ) )
| ( cP_4 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_4 @ d @ Y0 ) )
& ( cP_4 @ c @ c )
& ( cP_4 @ b @ b )
& ( cP_4 @ a @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_3 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_3 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_3 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_3 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_4 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_3 @ Y0 @ Y1 ) )
| ( cP_3 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_3 @ d @ Y0 ) )
& ( cP_3 @ c @ c )
& ( cP_3 @ b @ b )
& ( cP_3 @ a @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_2 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_2 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_3 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_2 @ Y0 @ Y1 ) )
| ( cP_2 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_2 @ d @ Y0 ) )
& ( cP_2 @ c @ c )
& ( cP_2 @ b @ b )
& ( cP_2 @ a @ a )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_1 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_1 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_2 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_1 @ Y0 @ Y1 ) )
| ( cP_1 @ ( f @ Y0 ) @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] : ( cP_1 @ d @ Y0 ) )
& ( cP_1 @ c @ c )
& ( cP_1 @ b @ b )
& ( cP_1 @ a @ a )
& ( cQ_1 @ a @ b @ c ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
cP_5 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
cP_5 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
cP_5 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_5 @ Y0 @ Y1 ) )
| ( cP_5 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl35,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_5 @ X2 @ Y0 ) )
| ( cP_5 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl51,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_5 @ X2 @ X4 ) )
| ( cP_5 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl62,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_5 @ X2 @ X4 )
| ( cP_5 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl62_001,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_5 @ X2 @ X4 )
| ( cP_5 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl11,plain,
cP_4 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl13,plain,
cP_4 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl12,plain,
cP_4 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_4 @ Y0 @ Y1 ) )
| ( cP_4 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl38,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_4 @ X2 @ Y0 ) )
| ( cP_4 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_4 @ X2 @ X4 ) )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl64,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl64_002,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl64_003,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_3 @ Y0 @ Y1 ) )
| ( cP_3 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl41,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_3 @ X2 @ Y0 ) )
| ( cP_3 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_3 @ X2 @ X4 ) )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl66,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl66_004,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl66_005,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl23,plain,
cP_2 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl25,plain,
cP_2 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl24,plain,
cP_2 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_2 @ Y0 @ Y1 ) )
| ( cP_2 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl44,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_2 @ X2 @ Y0 ) )
| ( cP_2 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_2 @ X2 @ X4 ) )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl68,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl68_006,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl68_007,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl27,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cP_1 @ Y0 @ Y1 ) )
| ( cP_1 @ ( f @ Y0 ) @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl47,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_1 @ X2 @ Y0 ) )
| ( cP_1 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl59,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_1 @ X2 @ X4 ) )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl70,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl70_008,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl70_009,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl32,plain,
cQ_1 @ a @ b @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl26,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_1 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_1 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_2 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl46,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_1 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_1 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_2 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl58,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_1 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_2 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl69,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_2 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl75,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_2 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl80,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_2 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl85,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_1 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_1 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_1 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_1 @ ( f @ X6 ) @ X12 ) )
| ( cQ_2 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl90,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_1 @ X2 @ X4 @ X6 )
| ~ ( cP_1 @ ( f @ X2 ) @ X8 )
| ~ ( cP_1 @ ( f @ X4 ) @ X10 )
| ~ ( cP_1 @ ( f @ X6 ) @ X12 )
| ( cQ_2 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cQ_2 @ X2 @ X1 @ X0 )
| ~ ( cP_1 @ ( f @ c ) @ X0 )
| ~ ( cP_1 @ ( f @ b ) @ X1 )
| ~ ( cP_1 @ ( f @ a ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl90]) ).
thf(zip_derived_cl100,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ ( f @ a ) @ X1 )
| ~ ( cP_1 @ ( f @ b ) @ X2 )
| ( cQ_2 @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl98]) ).
thf(zip_derived_cl102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ a @ X0 )
| ( cQ_2 @ X0 @ X2 @ X1 )
| ~ ( cP_1 @ ( f @ b ) @ X2 )
| ~ ( cP_1 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl100]) ).
thf(zip_derived_cl104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_1 @ b @ X0 )
| ~ ( cP_1 @ c @ X1 )
| ( cQ_2 @ X2 @ X0 @ X1 )
| ~ ( cP_1 @ a @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl102]) ).
thf(zip_derived_cl20,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_2 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_2 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_3 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl43,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_2 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_2 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_3 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl56,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_2 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_3 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl67,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_3 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl74,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_3 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl79,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_3 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl84,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_2 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_2 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_2 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_2 @ ( f @ X6 ) @ X12 ) )
| ( cQ_3 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl89,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_2 @ X2 @ X4 @ X6 )
| ~ ( cP_2 @ ( f @ X2 ) @ X8 )
| ~ ( cP_2 @ ( f @ X4 ) @ X10 )
| ~ ( cP_2 @ ( f @ X6 ) @ X12 )
| ( cQ_3 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl84]) ).
thf(zip_derived_cl106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_1 @ a @ X2 )
| ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ b @ X1 )
| ( cQ_3 @ X5 @ X4 @ X3 )
| ~ ( cP_2 @ ( f @ X0 ) @ X3 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 )
| ~ ( cP_2 @ ( f @ X2 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl89]) ).
thf(zip_derived_cl108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ ( f @ X3 ) @ X2 )
| ~ ( cP_2 @ ( f @ X5 ) @ X4 )
| ( cQ_3 @ X2 @ X4 @ X0 )
| ~ ( cP_1 @ b @ X5 )
| ~ ( cP_1 @ c @ X1 )
| ~ ( cP_1 @ a @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl106]) ).
thf(zip_derived_cl180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ a @ X1 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_1 @ b @ X3 )
| ( cQ_3 @ X0 @ X5 @ X4 )
| ~ ( cP_2 @ ( f @ X3 ) @ X5 )
| ~ ( cP_2 @ X2 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl108]) ).
thf(zip_derived_cl234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ X3 @ X2 )
| ( cQ_3 @ X4 @ X0 @ X2 )
| ~ ( cP_1 @ b @ X1 )
| ~ ( cP_1 @ c @ X3 )
| ~ ( cP_1 @ a @ X5 )
| ~ ( cP_2 @ X5 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl180]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ a @ X1 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_1 @ b @ b )
| ( cQ_3 @ X0 @ b @ X3 )
| ~ ( cP_2 @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl234]) ).
thf(zip_derived_cl30,plain,
cP_1 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ a @ X1 )
| ~ ( cP_1 @ c @ X2 )
| ( cQ_3 @ X0 @ b @ X3 )
| ~ ( cP_2 @ X2 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl30]) ).
thf(zip_derived_cl260,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ( cQ_3 @ a @ b @ X0 )
| ~ ( cP_1 @ c @ X1 )
| ~ ( cP_1 @ a @ a ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl258]) ).
thf(zip_derived_cl31,plain,
cP_1 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl272,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ( cQ_3 @ a @ b @ X0 )
| ~ ( cP_1 @ c @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl260,zip_derived_cl31]) ).
thf(zip_derived_cl276,plain,
( ~ ( cP_1 @ c @ c )
| ( cQ_3 @ a @ b @ c ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl272]) ).
thf(zip_derived_cl29,plain,
cP_1 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl284,plain,
cQ_3 @ a @ b @ c,
inference(demod,[status(thm)],[zip_derived_cl276,zip_derived_cl29]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_3 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_3 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_3 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_3 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_4 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl40,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_3 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_3 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_3 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_4 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl54,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_3 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_3 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_3 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_4 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl65,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_3 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_3 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_3 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_4 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl73,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_3 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_3 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_3 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_4 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl78,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_3 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_3 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_3 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_4 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl83,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_3 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_3 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_3 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_3 @ ( f @ X6 ) @ X12 ) )
| ( cQ_4 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl88,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_3 @ X2 @ X4 @ X6 )
| ~ ( cP_3 @ ( f @ X2 ) @ X8 )
| ~ ( cP_3 @ ( f @ X4 ) @ X10 )
| ~ ( cP_3 @ ( f @ X6 ) @ X12 )
| ( cQ_4 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl83]) ).
thf(zip_derived_cl286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cQ_4 @ X2 @ X1 @ X0 )
| ~ ( cP_3 @ ( f @ c ) @ X0 )
| ~ ( cP_3 @ ( f @ b ) @ X1 )
| ~ ( cP_3 @ ( f @ a ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl284,zip_derived_cl88]) ).
thf(zip_derived_cl292,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_3 @ c @ X0 )
| ~ ( cP_3 @ ( f @ a ) @ X1 )
| ~ ( cP_3 @ ( f @ b ) @ X2 )
| ( cQ_4 @ X1 @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl286]) ).
thf(zip_derived_cl294,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_3 @ a @ X0 )
| ( cQ_4 @ X0 @ X2 @ X1 )
| ~ ( cP_3 @ ( f @ b ) @ X2 )
| ~ ( cP_3 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl292]) ).
thf(zip_derived_cl296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_3 @ b @ X0 )
| ~ ( cP_3 @ c @ X1 )
| ( cQ_4 @ X2 @ X0 @ X1 )
| ~ ( cP_3 @ a @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl294]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_4 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_4 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_4 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_4 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_5 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl37,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_4 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_4 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_4 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_5 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_4 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_4 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_4 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_5 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl63,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_4 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_4 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_4 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_5 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl72,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_4 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_4 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_4 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_5 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl77,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_4 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_4 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_4 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_5 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl82,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_4 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_4 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_4 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_4 @ ( f @ X6 ) @ X12 ) )
| ( cQ_5 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl87,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_4 @ X2 @ X4 @ X6 )
| ~ ( cP_4 @ ( f @ X2 ) @ X8 )
| ~ ( cP_4 @ ( f @ X4 ) @ X10 )
| ~ ( cP_4 @ ( f @ X6 ) @ X12 )
| ( cQ_5 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_3 @ a @ X2 )
| ~ ( cP_3 @ c @ X0 )
| ~ ( cP_3 @ b @ X1 )
| ( cQ_5 @ X5 @ X4 @ X3 )
| ~ ( cP_4 @ ( f @ X0 ) @ X3 )
| ~ ( cP_4 @ ( f @ X1 ) @ X4 )
| ~ ( cP_4 @ ( f @ X2 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl296,zip_derived_cl87]) ).
thf(zip_derived_cl300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_4 @ ( f @ X3 ) @ X2 )
| ~ ( cP_4 @ ( f @ X5 ) @ X4 )
| ( cQ_5 @ X2 @ X4 @ X0 )
| ~ ( cP_3 @ b @ X5 )
| ~ ( cP_3 @ c @ X1 )
| ~ ( cP_3 @ a @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl298]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_3 @ a @ X1 )
| ~ ( cP_3 @ c @ X2 )
| ~ ( cP_3 @ b @ X3 )
| ( cQ_5 @ X0 @ X5 @ X4 )
| ~ ( cP_4 @ ( f @ X3 ) @ X5 )
| ~ ( cP_4 @ X2 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl300]) ).
thf(zip_derived_cl494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_4 @ X3 @ X2 )
| ( cQ_5 @ X4 @ X0 @ X2 )
| ~ ( cP_3 @ b @ X1 )
| ~ ( cP_3 @ c @ X3 )
| ~ ( cP_3 @ a @ X5 )
| ~ ( cP_4 @ X5 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl356]) ).
thf(zip_derived_cl505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_3 @ a @ X1 )
| ~ ( cP_3 @ c @ X2 )
| ~ ( cP_3 @ b @ b )
| ( cQ_5 @ X0 @ b @ X3 )
| ~ ( cP_4 @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl494]) ).
thf(zip_derived_cl18,plain,
cP_3 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_3 @ a @ X1 )
| ~ ( cP_3 @ c @ X2 )
| ( cQ_5 @ X0 @ b @ X3 )
| ~ ( cP_4 @ X2 @ X3 ) ),
inference(demod,[status(thm)],[zip_derived_cl505,zip_derived_cl18]) ).
thf(zip_derived_cl520,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ( cQ_5 @ a @ b @ X0 )
| ~ ( cP_3 @ c @ X1 )
| ~ ( cP_3 @ a @ a ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl518]) ).
thf(zip_derived_cl19,plain,
cP_3 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl532,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ( cQ_5 @ a @ b @ X0 )
| ~ ( cP_3 @ c @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl520,zip_derived_cl19]) ).
thf(zip_derived_cl536,plain,
( ~ ( cP_3 @ c @ c )
| ( cQ_5 @ a @ b @ c ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl532]) ).
thf(zip_derived_cl17,plain,
cP_3 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl544,plain,
cQ_5 @ a @ b @ c,
inference(demod,[status(thm)],[zip_derived_cl536,zip_derived_cl17]) ).
thf(zip_derived_cl62_010,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_5 @ X2 @ X4 )
| ( cP_5 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( cQ_5 @ Y0 @ Y1 @ Y2 ) )
| ( (~) @ ( cP_5 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_5 @ ( f @ Y1 ) @ Y4 ) )
| ( (~) @ ( cP_5 @ ( f @ Y2 ) @ Y5 ) )
| ( cQ_6 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl34,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( cQ_5 @ X2 @ Y0 @ Y1 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ Y2 ) )
| ( (~) @ ( cP_5 @ ( f @ Y0 ) @ Y3 ) )
| ( (~) @ ( cP_5 @ ( f @ Y1 ) @ Y4 ) )
| ( cQ_6 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl50,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( (~) @ ( cQ_5 @ X2 @ X4 @ Y0 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ Y1 ) )
| ( (~) @ ( cP_5 @ ( f @ X4 ) @ Y2 ) )
| ( (~) @ ( cP_5 @ ( f @ Y0 ) @ Y3 ) )
| ( cQ_6 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl61,plain,
! [X2: $i,X4: $i,X6: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( cQ_5 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ Y0 ) )
| ( (~) @ ( cP_5 @ ( f @ X4 ) @ Y1 ) )
| ( (~) @ ( cP_5 @ ( f @ X6 ) @ Y2 ) )
| ( cQ_6 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl71,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( (~) @ ( cQ_5 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_5 @ ( f @ X4 ) @ Y0 ) )
| ( (~) @ ( cP_5 @ ( f @ X6 ) @ Y1 ) )
| ( cQ_6 @ X8 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl76,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cQ_5 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_5 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_5 @ ( f @ X6 ) @ Y0 ) )
| ( cQ_6 @ X8 @ X10 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl81,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ( (~) @ ( cQ_5 @ X2 @ X4 @ X6 ) )
| ( (~) @ ( cP_5 @ ( f @ X2 ) @ X8 ) )
| ( (~) @ ( cP_5 @ ( f @ X4 ) @ X10 ) )
| ( (~) @ ( cP_5 @ ( f @ X6 ) @ X12 ) )
| ( cQ_6 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl86,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cQ_5 @ X2 @ X4 @ X6 )
| ~ ( cP_5 @ ( f @ X2 ) @ X8 )
| ~ ( cP_5 @ ( f @ X4 ) @ X10 )
| ~ ( cP_5 @ ( f @ X6 ) @ X12 )
| ( cQ_6 @ X8 @ X10 @ X12 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_6 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl33,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( cQ_6 @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] : ( (~) @ ( cQ_6 @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl60,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( cQ_6 @ X2 @ X4 @ X6 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl91,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cP_5 @ ( f @ X6 ) @ X12 )
| ~ ( cP_5 @ ( f @ X4 ) @ X10 )
| ~ ( cP_5 @ ( f @ X2 ) @ X8 )
| ~ ( cQ_5 @ X2 @ X4 @ X6 ) ),
inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl60]) ).
thf(zip_derived_cl92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_5 @ X1 @ X0 )
| ~ ( cQ_5 @ X3 @ X2 @ X1 )
| ~ ( cP_5 @ ( f @ X3 ) @ X4 )
| ~ ( cP_5 @ ( f @ X2 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl91]) ).
thf(zip_derived_cl546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_5 @ ( f @ b ) @ X0 )
| ~ ( cP_5 @ ( f @ a ) @ X1 )
| ~ ( cP_5 @ c @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl92]) ).
thf(zip_derived_cl558,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_5 @ b @ X0 )
| ~ ( cP_5 @ c @ X1 )
| ~ ( cP_5 @ ( f @ a ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl546]) ).
thf(zip_derived_cl560,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_5 @ a @ X0 )
| ~ ( cP_5 @ c @ X1 )
| ~ ( cP_5 @ b @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl558]) ).
thf(zip_derived_cl562,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_5 @ b @ X0 )
| ~ ( cP_5 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl560]) ).
thf(zip_derived_cl564,plain,
! [X0: $i] :
~ ( cP_5 @ c @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl562]) ).
thf(zip_derived_cl566,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl564]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO388^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.m9krlIRKhT true
% 0.13/0.35 % Computer : n015.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 : Fri Aug 25 23:46:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.88/1.15 % Solved by lams/20_acsne_simpl.sh.
% 0.88/1.15 % done 379 iterations in 0.309s
% 0.88/1.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.88/1.15 % SZS output start Refutation
% See solution above
% 0.88/1.16
% 0.88/1.16
% 0.88/1.16 % Terminating...
% 2.33/1.29 % Runner terminated.
% 2.33/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------