%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO387^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pc4llUARpD true
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:07:22 PM UTC 2025
% Result : Theorem 0.56s 1.00s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 105 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 763 ( 0 equ; 148 cnn)
% Maximal formula atoms : 106 ( 7 avg)
% Number of connectives : 2370 ( 311 ~; 294 |; 75 &;1549 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 7 con; 0-3 aty)
% ( 141 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 461 ( 141 ^; 320 !; 0 ?; 461 :)
% Comments :
%------------------------------------------------------------------------------
thf(cQ_1_type,type,
cQ_1: $i > $i > $i > $o ).
thf(d_type,type,
d: $i ).
thf(cQ_2_type,type,
cQ_2: $i > $i > $i > $o ).
thf(cQ_5_type,type,
cQ_5: $i > $i > $i > $o ).
thf(cP_3_type,type,
cP_3: $i > $i > $o ).
thf(cP_4_type,type,
cP_4: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(cQ_3_type,type,
cQ_3: $i > $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(c_type,type,
c: $i ).
thf(cQ_4_type,type,
cQ_4: $i > $i > $i > $o ).
thf(cP_2_type,type,
cP_2: $i > $i > $o ).
thf(f_type,type,
f: $i > $i ).
thf(cP_1_type,type,
cP_1: $i > $i > $o ).
thf(cTHM409_4,conjecture,
~ ( ! [Xx: $i,Xy: $i,Xz: $i] :
~ ( cQ_5 @ Xx @ Xy @ Xz )
& ! [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_5 @ Xx @ Xy @ Xz )
& ! [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_4]) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_5 @ Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !!
@ ^ [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_cl11,plain,
cP_3 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
cP_4 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl7,plain,
cP_4 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,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_cl29,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_4 @ X2 @ Y0 ) )
| ( cP_4 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl42,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_4 @ X2 @ X4 ) )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl51,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl51_001,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl12,plain,
cP_3 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl9,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_cl32,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_3 @ X2 @ Y0 ) )
| ( cP_3 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl44,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_3 @ X2 @ X4 ) )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl53_002,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl53_003,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_3 @ X2 @ X4 )
| ( cP_3 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl17,plain,
cP_2 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl19,plain,
cP_2 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl18,plain,
cP_2 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl15,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_cl35,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_2 @ X2 @ Y0 ) )
| ( cP_2 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl46,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_2 @ X2 @ X4 ) )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl55,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl55_004,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl55_005,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_2 @ X2 @ X4 )
| ( cP_2 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl24,plain,
cP_1 @ b @ b,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl21,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_cl38,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( (~) @ ( cP_1 @ X2 @ Y0 ) )
| ( cP_1 @ ( f @ X2 ) @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl48,plain,
! [X2: $i,X4: $i] :
( ( (~) @ ( cP_1 @ X2 @ X4 ) )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl57,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl57_006,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl57_007,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_1 @ X2 @ X4 )
| ( cP_1 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl26,plain,
cQ_1 @ a @ b @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl20,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_cl37,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_cl20]) ).
thf(zip_derived_cl47,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_cl37]) ).
thf(zip_derived_cl56,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_cl47]) ).
thf(zip_derived_cl61,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_cl56]) ).
thf(zip_derived_cl65,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_cl61]) ).
thf(zip_derived_cl69,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_cl65]) ).
thf(zip_derived_cl73,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_cl69]) ).
thf(zip_derived_cl81,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_cl26,zip_derived_cl73]) ).
thf(zip_derived_cl83,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_cl57,zip_derived_cl81]) ).
thf(zip_derived_cl85,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_cl57,zip_derived_cl83]) ).
thf(zip_derived_cl87,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_cl57,zip_derived_cl85]) ).
thf(zip_derived_cl89,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_1 @ a @ X0 )
| ( cQ_2 @ X0 @ b @ X1 )
| ~ ( cP_1 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl87]) ).
thf(zip_derived_cl14,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_cl34,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_cl14]) ).
thf(zip_derived_cl45,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_cl34]) ).
thf(zip_derived_cl54,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_cl45]) ).
thf(zip_derived_cl60,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_cl54]) ).
thf(zip_derived_cl64,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_cl60]) ).
thf(zip_derived_cl68,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_cl64]) ).
thf(zip_derived_cl72,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_cl68]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_1 @ c @ X0 )
| ~ ( cP_1 @ a @ X1 )
| ( cQ_3 @ X4 @ X3 @ X2 )
| ~ ( cP_2 @ ( f @ X0 ) @ X2 )
| ~ ( cP_2 @ ( f @ b ) @ X3 )
| ~ ( cP_2 @ ( f @ X1 ) @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl72]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_2 @ ( f @ X3 ) @ X2 )
| ~ ( cP_2 @ ( f @ b ) @ X4 )
| ( cQ_3 @ X2 @ X4 @ X0 )
| ~ ( cP_1 @ a @ X3 )
| ~ ( cP_1 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl91]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_1 @ a @ X1 )
| ( cQ_3 @ X0 @ X4 @ X3 )
| ~ ( cP_2 @ ( f @ b ) @ X4 )
| ~ ( cP_2 @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl93]) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_2 @ b @ X0 )
| ~ ( cP_2 @ X2 @ X1 )
| ( cQ_3 @ X3 @ X0 @ X1 )
| ~ ( cP_1 @ a @ X4 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_2 @ X4 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl117]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ~ ( cP_1 @ c @ X2 )
| ~ ( cP_1 @ a @ X1 )
| ( cQ_3 @ X0 @ b @ X3 )
| ~ ( cP_2 @ X2 @ X3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl163]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ( cQ_3 @ a @ b @ X0 )
| ~ ( cP_1 @ a @ a )
| ~ ( cP_1 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl201]) ).
thf(zip_derived_cl25,plain,
cP_1 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl219,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_2 @ X1 @ X0 )
| ( cQ_3 @ a @ b @ X0 )
| ~ ( cP_1 @ c @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl25]) ).
thf(zip_derived_cl223,plain,
( ~ ( cP_1 @ c @ c )
| ( cQ_3 @ a @ b @ c ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl219]) ).
thf(zip_derived_cl23,plain,
cP_1 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl231,plain,
cQ_3 @ a @ b @ c,
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl23]) ).
thf(zip_derived_cl8,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_cl31,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_cl8]) ).
thf(zip_derived_cl43,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_cl31]) ).
thf(zip_derived_cl52,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_cl43]) ).
thf(zip_derived_cl59,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_cl52]) ).
thf(zip_derived_cl63,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_cl59]) ).
thf(zip_derived_cl67,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_cl63]) ).
thf(zip_derived_cl71,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_cl67]) ).
thf(zip_derived_cl233,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_cl231,zip_derived_cl71]) ).
thf(zip_derived_cl279,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_cl53,zip_derived_cl233]) ).
thf(zip_derived_cl281,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_cl53,zip_derived_cl279]) ).
thf(zip_derived_cl283,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_cl53,zip_derived_cl281]) ).
thf(zip_derived_cl285,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_3 @ a @ X0 )
| ( cQ_4 @ X0 @ b @ X1 )
| ~ ( cP_3 @ c @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl283]) ).
thf(zip_derived_cl51_008,plain,
! [X2: $i,X4: $i] :
( ~ ( cP_4 @ X2 @ X4 )
| ( cP_4 @ ( f @ X2 ) @ X4 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl2,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_cl28,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_cl2]) ).
thf(zip_derived_cl41,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_cl28]) ).
thf(zip_derived_cl50,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_cl41]) ).
thf(zip_derived_cl58,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_cl50]) ).
thf(zip_derived_cl62,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_cl58]) ).
thf(zip_derived_cl66,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_cl62]) ).
thf(zip_derived_cl70,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_cl66]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] : ( (~) @ ( cQ_5 @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl27,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( cQ_5 @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl40,plain,
! [X2: $i,X4: $i] :
( !!
@ ^ [Y0: $i] : ( (~) @ ( cQ_5 @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl49,plain,
! [X2: $i,X4: $i,X6: $i] :
~ ( cQ_5 @ X2 @ X4 @ X6 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl74,plain,
! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i,X12: $i] :
( ~ ( cP_4 @ ( f @ X6 ) @ X12 )
| ~ ( cP_4 @ ( f @ X4 ) @ X10 )
| ~ ( cP_4 @ ( f @ X2 ) @ X8 )
| ~ ( cQ_4 @ X2 @ X4 @ X6 ) ),
inference(clc,[status(thm)],[zip_derived_cl70,zip_derived_cl49]) ).
thf(zip_derived_cl75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cQ_4 @ X3 @ X2 @ X1 )
| ~ ( cP_4 @ ( f @ X3 ) @ X4 )
| ~ ( cP_4 @ ( f @ X2 ) @ X5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl74]) ).
thf(zip_derived_cl288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_3 @ c @ X0 )
| ~ ( cP_3 @ a @ X1 )
| ~ ( cP_4 @ ( f @ b ) @ X2 )
| ~ ( cP_4 @ ( f @ X1 ) @ X3 )
| ~ ( cP_4 @ X0 @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl285,zip_derived_cl75]) ).
thf(zip_derived_cl323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_4 @ b @ X0 )
| ~ ( cP_4 @ X2 @ X1 )
| ~ ( cP_4 @ ( f @ X4 ) @ X3 )
| ~ ( cP_3 @ a @ X4 )
| ~ ( cP_3 @ c @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl288]) ).
thf(zip_derived_cl341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( cP_4 @ X1 @ X0 )
| ~ ( cP_3 @ c @ X2 )
| ~ ( cP_3 @ a @ X1 )
| ~ ( cP_4 @ X2 @ X3 )
| ~ ( cP_4 @ b @ X4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl323]) ).
thf(zip_derived_cl345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_4 @ b @ X0 )
| ~ ( cP_4 @ X2 @ X1 )
| ~ ( cP_3 @ a @ a )
| ~ ( cP_3 @ c @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl341]) ).
thf(zip_derived_cl13,plain,
cP_3 @ a @ a,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( cP_4 @ b @ X0 )
| ~ ( cP_4 @ X2 @ X1 )
| ~ ( cP_3 @ c @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl13]) ).
thf(zip_derived_cl361,plain,
! [X0: $i,X1: $i] :
( ~ ( cP_3 @ c @ X0 )
| ~ ( cP_4 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl359]) ).
thf(zip_derived_cl365,plain,
! [X0: $i] :
~ ( cP_4 @ c @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl361]) ).
thf(zip_derived_cl5,plain,
cP_4 @ c @ c,
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl367,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl365,zip_derived_cl5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO387^5 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pc4llUARpD true
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 18:03:23 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in HO mode
% 0.46/0.62 % Total configuration time : 828
% 0.46/0.62 % Estimated wc time : 1656
% 0.46/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/1.00 % Solved by lams/30_sp5.sh.
% 0.56/1.00 % done 259 iterations in 0.203s
% 0.56/1.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/1.00 % SZS output start Refutation
% See solution above
% 0.56/1.01
% 0.56/1.01
% 0.56/1.01 % Terminating...
% 0.56/1.05 % Runner terminated.
% 1.75/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------