%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV032^5 : 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.afGyTwbREs true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:57:02 PM UTC 2025
% Result : Theorem 88.97s 11.97s
% Output : Refutation 88.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 1
% Syntax : Number of formulae : 109 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 617 ( 59 equ; 198 cnn)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 2566 ( 224 ~; 175 |; 130 &;1833 @)
% ( 0 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 9 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 112 ( 112 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 12 usr; 10 con; 0-6 aty)
% ( 69 !!; 59 ??; 0 @@+; 0 @@-)
% Number of variables : 229 ( 18 ^; 195 !; 16 ?; 229 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': a > a > $o ).
thf('#sk5_type',type,
'#sk5': ( a > $o ) > a ).
thf('#sk2_type',type,
'#sk2': ( a > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': a > a > $o ).
thf('#sk7_type',type,
'#sk7': a > a > a > $o ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $o ).
thf('#sk6_type',type,
'#sk6': a > a > a > $o ).
thf(s_comb_type,type,
'#S':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).
thf(c_comb_type,type,
'#C':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).
thf(b_comb_type,type,
'#B':
!>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).
thf(k_comb_type,type,
'#K':
!>[A: $tType,B: $tType] : ( B > A > B ) ).
thf(i_comb_type,type,
'#I':
!>[A: $tType] : ( A > A ) ).
thf(cTHM266_LEMMA_pme,conjecture,
! [T: ( a > $o ) > $o,U: ( a > $o ) > $o] :
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ( U @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( U @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( U @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( T @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( T @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( T @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ( T != U ) )
=> ? [Xx: a,Xy: a] :
( ( ? [Xs: a > $o] :
( ( T @ Xs )
& ( Xs @ Xx )
& ( Xs @ Xy ) )
& ! [Xq: a > $o] :
( ( U @ Xq )
=> ( ~ ( Xq @ Xy )
| ~ ( Xq @ Xx ) ) ) )
| ( ? [Xs: a > $o] :
( ( U @ Xs )
& ( Xs @ Xx )
& ( Xs @ Xy ) )
& ! [Xq: a > $o] :
( ( T @ Xq )
=> ( ~ ( Xq @ Xy )
| ~ ( Xq @ Xx ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [T: ( a > $o ) > $o,U: ( a > $o ) > $o] :
( ( ! [Xx: a] :
? [Xp: a > $o] :
( ( U @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( U @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( U @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ! [Xx: a] :
? [Xp: a > $o] :
( ( T @ Xp )
& ( Xp @ Xx )
& ! [Xq: a > $o] :
( ( ( Xq @ Xx )
& ( T @ Xq ) )
=> ( Xq = Xp ) ) )
& ! [Xp: a > $o] :
( ( T @ Xp )
=> ? [Xz: a] : ( Xp @ Xz ) )
& ( T != U ) )
=> ? [Xx: a,Xy: a] :
( ( ? [Xs: a > $o] :
( ( T @ Xs )
& ( Xs @ Xx )
& ( Xs @ Xy ) )
& ! [Xq: a > $o] :
( ( U @ Xq )
=> ( ~ ( Xq @ Xy )
| ~ ( Xq @ Xx ) ) ) )
| ( ? [Xs: a > $o] :
( ( U @ Xs )
& ( Xs @ Xx )
& ( Xs @ Xy ) )
& ! [Xq: a > $o] :
( ( T @ Xq )
=> ( ~ ( Xq @ Xy )
| ~ ( Xq @ Xx ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM266_LEMMA_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y1 @ Y3 )
& ( Y3 @ Y2 )
& ( !!
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( Y1 @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( ??
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a > $o] :
( ( Y0 @ Y3 )
& ( Y3 @ Y2 )
& ( !!
@ ^ [Y4: a > $o] :
( ( ( Y4 @ Y2 )
& ( Y0 @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) )
& ( Y0 != Y1 ) )
=> ( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
& ( Y4 @ Y2 )
& ( Y4 @ Y3 ) ) )
& ( !!
@ ^ [Y4: a > $o] :
( ( Y1 @ Y4 )
=> ( ( (~) @ ( Y4 @ Y3 ) )
| ( (~) @ ( Y4 @ Y2 ) ) ) ) ) )
| ( ( ??
@ ^ [Y4: a > $o] :
( ( Y1 @ Y4 )
& ( Y4 @ Y2 )
& ( Y4 @ Y3 ) ) )
& ( !!
@ ^ [Y4: a > $o] :
( ( Y0 @ Y4 )
=> ( ( (~) @ ( Y4 @ Y3 ) )
| ( (~) @ ( Y4 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#C' @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ ?? ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ ?? ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ ?? ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ ?? ) ) ) ) @ != ) ) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#B' @ ( '#B' @ ( '#B' @ ?? ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (|) ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ?? ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ?? ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#C' @ ( '#C' @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ ?? ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ ?? ) ) ) @ ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ?? ) ) ) @ ( (>) != '#sk1' ) ) ) @ ( '#B' @ ?? @ ( '#B' @ ( '#B' @ ?? ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (|) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ?? ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#B' ) @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk2' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ?? ) )
& ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ?? ) )
& ( '#sk1' != '#sk2' ) )
=> ( ?? @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk2' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ?? ) )
& ( !! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ?? ) )
& ( '#sk1' != '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
!! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk1' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl14,plain,
! [X2: a] : ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk1' ) ) ) @ ( '#C' @ (=) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk4' @ X2 ) )
& ( '#sk4' @ X2 @ X2 )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk1' ) ) @ ( '#C' @ (=) @ ( '#sk4' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl30,plain,
! [X2: a] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk1' ) ) @ ( '#C' @ (=) @ ( '#sk4' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X4: a > $o] :
( ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
=> ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl45_001,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl291,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ( X1 = X0 )
| ~ ( '#sk1' @ X0 )
| ~ ( X0 @ X2 )
| ~ ( '#sk1' @ X1 )
| ~ ( X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl45]) ).
thf(zip_derived_cl8403,plain,
! [X0: a > $o,X1: a > $o,X2: a,X3: a] :
( ( ( X1 @ X3 )
= ( X0 @ X3 ) )
| ~ ( X1 @ X2 )
| ~ ( '#sk1' @ X1 )
| ~ ( X0 @ X2 )
| ~ ( '#sk1' @ X0 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl291]) ).
thf(zip_derived_cl9,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ?? ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
! [X2: a > $o] :
( ( '#sk1' @ X2 )
=> ( ?? @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
! [X2: a > $o] :
( ~ ( '#sk1' @ X2 )
| ( ?? @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl31,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl45_002,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl308,plain,
! [X0: a > $o] :
( ~ ( '#sk1' @ X0 )
| ( X0
= ( '#sk4' @ ( '#sk5' @ X0 ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl45]) ).
thf(zip_derived_cl337,plain,
! [X0: a > $o] :
( ( X0
= ( '#sk4' @ ( '#sk5' @ X0 ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl308]) ).
thf(zip_derived_cl384,plain,
! [X0: a > $o,X1: a] :
( ( ( X0 @ X1 )
= ( '#sk4' @ ( '#sk5' @ X0 ) @ X1 ) )
| ~ ( '#sk1' @ X0 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl337]) ).
thf(zip_derived_cl3338,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
| ~ ( '#sk4' @ ( '#sk5' @ X0 ) @ X1 )
| ~ ( '#sk1' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl384]) ).
thf(zip_derived_cl6,plain,
!! @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) ) @ ( '#C' @ '#I' ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#C' @ '#I' ) ) ) @ '#sk2' ) ) ) ) @ ( '#C' @ (=) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl12,plain,
! [X2: a] : ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk2' ) ) ) @ ( '#C' @ (=) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( '#sk2' @ ( '#sk3' @ X2 ) )
& ( '#sk3' @ X2 @ X2 )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk2' ) ) @ ( '#C' @ (=) @ ( '#sk3' @ X2 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl26,plain,
! [X2: a] : ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#S' @ ( '#B' @ (&) @ ( '#C' @ '#I' @ X2 ) ) @ '#sk2' ) ) @ ( '#C' @ (=) @ ( '#sk3' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a > $o] :
( ( ( X4 @ X2 )
& ( '#sk2' @ X4 ) )
=> ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk2' @ X4 ) )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl42,plain,
! [X2: a,X4: a > $o] :
( ~ ( ( X4 @ X2 )
& ( '#sk2' @ X4 ) )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl7,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ?? ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
! [X2: a > $o] :
( ( '#sk2' @ X2 )
=> ( ?? @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl19,plain,
! [X2: a > $o] :
( ~ ( '#sk2' @ X2 )
| ( ?? @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl27,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl210,plain,
! [X0: a,X1: a > $o] :
( ( X1 @ ( '#sk5' @ ( '#sk3' @ X0 ) ) )
| ~ ( '#sk2' @ X1 )
| ~ ( X1 @ X0 )
| ~ ( '#sk2' @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl27]) ).
thf(zip_derived_cl258,plain,
! [X0: a,X1: a > $o] :
( ~ ( X1 @ X0 )
| ~ ( '#sk2' @ X1 )
| ( X1 @ ( '#sk5' @ ( '#sk3' @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl45_003,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl31_004,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl294,plain,
! [X0: a,X1: a > $o] :
( ( X1 @ ( '#sk5' @ ( '#sk4' @ X0 ) ) )
| ~ ( '#sk1' @ X1 )
| ~ ( X1 @ X0 )
| ~ ( '#sk1' @ X1 ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl31]) ).
thf(zip_derived_cl344,plain,
! [X0: a,X1: a > $o] :
( ~ ( X1 @ X0 )
| ~ ( '#sk1' @ X1 )
| ( X1 @ ( '#sk5' @ ( '#sk4' @ X0 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl294]) ).
thf(zip_derived_cl27_005,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl43_006,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl222,plain,
! [X0: a > $o] :
( ~ ( '#sk2' @ X0 )
| ( X0
= ( '#sk3' @ ( '#sk5' @ X0 ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl43]) ).
thf(zip_derived_cl251,plain,
! [X0: a > $o] :
( ( X0
= ( '#sk3' @ ( '#sk5' @ X0 ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl222]) ).
thf(zip_derived_cl278,plain,
! [X0: a > $o,X1: a] :
( ( ( X0 @ X1 )
= ( '#sk3' @ ( '#sk5' @ X0 ) @ X1 ) )
| ~ ( '#sk2' @ X0 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl1701,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
| ~ ( '#sk3' @ ( '#sk5' @ X0 ) @ X1 )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl278_007,plain,
! [X0: a > $o,X1: a] :
( ( ( X0 @ X1 )
= ( '#sk3' @ ( '#sk5' @ X0 ) @ X1 ) )
| ~ ( '#sk2' @ X0 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl251]) ).
thf(zip_derived_cl1702,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( '#sk3' @ ( '#sk5' @ X0 ) @ X1 )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl278]) ).
thf(zip_derived_cl43_008,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl43_009,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl209,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ( X1 = X0 )
| ~ ( '#sk2' @ X0 )
| ~ ( X0 @ X2 )
| ~ ( '#sk2' @ X1 )
| ~ ( X1 @ X2 ) ),
inference('sup+',[status(thm)],[zip_derived_cl43,zip_derived_cl43]) ).
thf(zip_derived_cl7072,plain,
! [X0: a > $o,X1: a > $o,X2: a,X3: a] :
( ( ( X1 @ X3 )
= ( X0 @ X3 ) )
| ~ ( X1 @ X2 )
| ~ ( '#sk2' @ X1 )
| ~ ( X0 @ X2 )
| ~ ( '#sk2' @ X0 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl209]) ).
thf(zip_derived_cl337_010,plain,
! [X0: a > $o] :
( ( X0
= ( '#sk4' @ ( '#sk5' @ X0 ) ) )
| ~ ( '#sk1' @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl308]) ).
thf(zip_derived_cl10,plain,
'#sk1' != '#sk2',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl16,plain,
'#sk1' != '#sk2',
inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl29,plain,
! [X2: a] : ( '#sk4' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl5,plain,
~ ( ?? @ ( '#B' @ ?? @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
~ ( ?? @ ( '#S' @ ( '#B' @ (|) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) @ ( '#C' @ '#I' @ X2 ) ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ) ) @ ( '#S' @ ( '#B' @ (&) @ ( '#B' @ ?? @ ( '#B' @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) @ ( '#C' @ '#I' @ X2 ) ) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (|) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#C' @ '#I' ) ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X2: a,X4: a] :
~ ( ( ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) )
| ( ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
~ ( ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a] :
( ~ ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk1' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( '#sk1' @ X6 )
& ( X6 @ X2 )
& ( X6 @ X4 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( '#sk1' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl46,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
=> ( ( (~) @ ( '#sk6' @ X2 @ X4 @ X4 ) )
| ( (~) @ ( '#sk6' @ X2 @ X4 @ X2 ) ) ) )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk1' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl49,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( (~) @ ( '#sk6' @ X2 @ X4 @ X4 ) )
| ( (~) @ ( '#sk6' @ X2 @ X4 @ X2 ) ) )
| ~ ( '#sk1' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl53,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk6' @ X2 @ X4 @ X2 )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk1' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl1524,plain,
! [X0: a,X1: a] :
( ~ ( '#sk1' @ ( '#sk4' @ X0 ) )
| ~ ( '#sk4' @ X0 @ X1 )
| ( '#sk6' @ X1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl53]) ).
thf(zip_derived_cl28,plain,
! [X2: a] : ( '#sk1' @ ( '#sk4' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl1598,plain,
! [X0: a,X1: a] :
( ~ ( '#sk4' @ X0 @ X1 )
| ( '#sk6' @ X1 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1524,zip_derived_cl28]) ).
thf(zip_derived_cl29_011,plain,
! [X2: a] : ( '#sk4' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl23,plain,
! [X2: a,X4: a] :
~ ( ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a] :
( ~ ( ?? @ ( '#S' @ ( '#S' @ ( '#B' @ (&) @ '#sk2' ) @ ( '#C' @ '#I' @ X2 ) ) @ ( '#C' @ '#I' @ X4 ) ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( '#sk2' @ X6 )
& ( X6 @ X2 )
& ( X6 @ X4 ) )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( '#sk2' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 )
| ~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk1' ) @ ( '#S' @ ( '#B' @ (|) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X4 ) ) ) @ ( '#B' @ (~) @ ( '#C' @ '#I' @ X2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl47,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( '#sk1' @ ( '#sk7' @ X2 @ X4 ) )
=> ( ( (~) @ ( '#sk7' @ X2 @ X4 @ X4 ) )
| ( (~) @ ( '#sk7' @ X2 @ X4 @ X2 ) ) ) )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk2' @ X6 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl51,plain,
! [X2: a,X4: a,X6: a > $o] :
( ~ ( ( (~) @ ( '#sk7' @ X2 @ X4 @ X4 ) )
| ( (~) @ ( '#sk7' @ X2 @ X4 @ X2 ) ) )
| ~ ( '#sk2' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl54,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk7' @ X2 @ X4 @ X4 )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk2' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl1854,plain,
! [X0: a > $o,X1: a] :
( ~ ( '#sk2' @ X0 )
| ~ ( X0 @ X1 )
| ( '#sk7' @ X1 @ X1 @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl27_012,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl52,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk6' @ X2 @ X4 @ X4 )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk1' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl31_013,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl25_014,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl55,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk7' @ X2 @ X4 @ X2 )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk2' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl2312,plain,
! [X0: a,X1: a] :
( ~ ( '#sk2' @ ( '#sk3' @ X0 ) )
| ~ ( '#sk3' @ X0 @ X1 )
| ( '#sk7' @ X1 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl55]) ).
thf(zip_derived_cl24,plain,
! [X2: a] : ( '#sk2' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl2401,plain,
! [X0: a,X1: a] :
( ~ ( '#sk3' @ X0 @ X1 )
| ( '#sk7' @ X1 @ X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2312,zip_derived_cl24]) ).
thf(zip_derived_cl28_015,plain,
! [X2: a] : ( '#sk1' @ ( '#sk4' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl48,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk2' @ ( '#sk6' @ X2 @ X4 ) )
| ~ ( '#sk1' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl24_016,plain,
! [X2: a] : ( '#sk2' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl54_017,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk7' @ X2 @ X4 @ X4 )
| ~ ( X6 @ X4 )
| ~ ( X6 @ X2 )
| ~ ( '#sk2' @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl25_018,plain,
! [X2: a] : ( '#sk3' @ X2 @ X2 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl50,plain,
! [X2: a,X4: a,X6: a > $o] :
( ( '#sk1' @ ( '#sk7' @ X2 @ X4 ) )
| ~ ( '#sk2' @ X6 )
| ~ ( X6 @ X2 )
| ~ ( X6 @ X4 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl647,plain,
! [X0: a,X1: a] :
( ~ ( '#sk3' @ X0 @ X1 )
| ~ ( '#sk2' @ ( '#sk3' @ X0 ) )
| ( '#sk1' @ ( '#sk7' @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl50]) ).
thf(zip_derived_cl24_019,plain,
! [X2: a] : ( '#sk2' @ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl685,plain,
! [X0: a,X1: a] :
( ~ ( '#sk3' @ X0 @ X1 )
| ( '#sk1' @ ( '#sk7' @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl24]) ).
thf(zip_derived_cl45_020,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl31_021,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk5' @ X2 ) )
| ~ ( '#sk1' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl288,plain,
! [X0: a > $o,X1: a] :
( ( '#sk4' @ X1 @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ X0 )
| ~ ( X0 @ X1 )
| ~ ( '#sk1' @ ( '#sk4' @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl31]) ).
thf(zip_derived_cl28_022,plain,
! [X2: a] : ( '#sk1' @ ( '#sk4' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl343,plain,
! [X0: a > $o,X1: a] :
( ( '#sk4' @ X1 @ ( '#sk5' @ X0 ) )
| ~ ( '#sk1' @ X0 )
| ~ ( X0 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl288,zip_derived_cl28]) ).
thf(zip_derived_cl45_023,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl43_024,plain,
! [X2: a,X4: a > $o] :
( ~ ( X4 @ X2 )
| ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl17793,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl8403,zip_derived_cl3338,zip_derived_cl258,zip_derived_cl344,zip_derived_cl1701,zip_derived_cl1702,zip_derived_cl7072,zip_derived_cl337,zip_derived_cl16,zip_derived_cl1598,zip_derived_cl29,zip_derived_cl1854,zip_derived_cl27,zip_derived_cl25,zip_derived_cl52,zip_derived_cl31,zip_derived_cl2401,zip_derived_cl28,zip_derived_cl48,zip_derived_cl24,zip_derived_cl54,zip_derived_cl685,zip_derived_cl343,zip_derived_cl45,zip_derived_cl43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEV032^5 : TPTP v9.2.0. Released v4.0.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.afGyTwbREs true
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 15:39:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % 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
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.77 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 88.97/11.97 % Solved by lams/40_b.comb.sh.
% 88.97/11.97 % done 636 iterations in 11.179s
% 88.97/11.97 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 88.97/11.97 % SZS output start Refutation
% See solution above
% 88.97/11.98
% 88.97/11.98
% 88.97/11.98 % Terminating...
% 88.97/12.04 % Runner terminated.
% 88.97/12.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------