TSTP Solution File: SEV260^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV260^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bVjn8MhwJH 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 : Thu Aug 31 20:00:14 EDT 2023
% Result : Theorem 3.52s 1.36s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 14 unt; 14 typ; 0 def)
% Number of atoms : 627 ( 131 equ; 238 cnn)
% Maximal formula atoms : 87 ( 15 avg)
% Number of connectives : 2376 ( 61 ~; 10 |; 113 &;1874 @)
% ( 0 <=>; 153 =>; 0 <=; 0 <~>)
% Maximal formula depth : 61 ( 11 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 133 ( 133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 12 usr; 9 con; 0-6 aty)
% ( 153 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 147 ( 63 ^; 68 !; 4 ?; 147 :)
% ( 12 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf('#sk17_type',type,
'#sk17': a ).
thf('#sk6_type',type,
'#sk6': a > $o ).
thf('#sk5_type',type,
'#sk5': a > $o ).
thf('#sk4_type',type,
'#sk4': b > $o ).
thf('#sk2_type',type,
'#sk2': ( b > $o ) > $o ).
thf('#sk3_type',type,
'#sk3': a > b ).
thf('#sk1_type',type,
'#sk1': ( a > $o ) > $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(cCLOSED_THM1_pme,conjecture,
! [T: ( a > $o ) > $o,S: ( b > $o ) > $o,Xf: a > b] :
( ( ! [X: b > $o] :
( ( S @ X )
=> ! [Y: a > $o] :
( ( Y
= ( ^ [Xb: a] : ( X @ ( Xf @ Xb ) ) ) )
=> ( T @ Y ) ) )
& ! [Y: b > $o,Z: b > $o,S0: b > $o] :
( ( ( S0
= ( ^ [Xx: b] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( S @ Z )
& ( S @ Y ) )
=> ( S @ S0 ) )
& ! [K: ( b > $o ) > $o,R: b > $o] :
( ( ( R
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) )
& ! [Xx: b > $o] :
( ( K @ Xx )
=> ( S @ Xx ) ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $true ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $false ) )
=> ( S @ R ) )
& ! [Y: a > $o,Z: a > $o,S0: a > $o] :
( ( ( S0
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( T @ Z )
& ( T @ Y ) )
=> ( T @ S0 ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S0: a > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( K @ Xx )
=> ( T @ Xx ) ) )
=> ( T @ R ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $true ) )
=> ( T @ R ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( T @ R ) ) )
=> ! [X: b > $o] :
( ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] :
~ ( X @ Xx ) ) )
=> ( S @ R ) )
=> ! [Y: a > $o] :
( ( Y
= ( ^ [Xb: a] : ( X @ ( Xf @ Xb ) ) ) )
=> ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] :
~ ( Y @ Xx ) ) )
=> ( T @ R ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [T: ( a > $o ) > $o,S: ( b > $o ) > $o,Xf: a > b] :
( ( ! [X: b > $o] :
( ( S @ X )
=> ! [Y: a > $o] :
( ( Y
= ( ^ [Xb: a] : ( X @ ( Xf @ Xb ) ) ) )
=> ( T @ Y ) ) )
& ! [Y: b > $o,Z: b > $o,S0: b > $o] :
( ( ( S0
= ( ^ [Xx: b] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( S @ Z )
& ( S @ Y ) )
=> ( S @ S0 ) )
& ! [K: ( b > $o ) > $o,R: b > $o] :
( ( ( R
= ( ^ [Xx: b] :
? [S0: b > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) )
& ! [Xx: b > $o] :
( ( K @ Xx )
=> ( S @ Xx ) ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $true ) )
=> ( S @ R ) )
& ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] : $false ) )
=> ( S @ R ) )
& ! [Y: a > $o,Z: a > $o,S0: a > $o] :
( ( ( S0
= ( ^ [Xx: a] :
( ( Z @ Xx )
& ( Y @ Xx ) ) ) )
& ( T @ Z )
& ( T @ Y ) )
=> ( T @ S0 ) )
& ! [K: ( a > $o ) > $o,R: a > $o] :
( ( ( R
= ( ^ [Xx: a] :
? [S0: a > $o] :
( ( K @ S0 )
& ( S0 @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( K @ Xx )
=> ( T @ Xx ) ) )
=> ( T @ R ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $true ) )
=> ( T @ R ) )
& ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] : $false ) )
=> ( T @ R ) ) )
=> ! [X: b > $o] :
( ! [R: b > $o] :
( ( R
= ( ^ [Xx: b] :
~ ( X @ Xx ) ) )
=> ( S @ R ) )
=> ! [Y: a > $o] :
( ( Y
= ( ^ [Xb: a] : ( X @ ( Xf @ Xb ) ) ) )
=> ! [R: a > $o] :
( ( R
= ( ^ [Xx: a] :
~ ( Y @ Xx ) ) )
=> ( T @ R ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cCLOSED_THM1_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( !!
@ ^ [Y1: ( b > $o ) > $o] :
( !!
@ ^ [Y2: a > b] :
( ( ( !!
@ ^ [Y3: b > $o] :
( ( Y1 @ Y3 )
=> ( !!
@ ^ [Y4: a > $o] :
( ( Y4
= ( ^ [Y5: a] : ( Y3 @ ( Y2 @ Y5 ) ) ) )
=> ( Y0 @ Y4 ) ) ) ) )
& ( !!
@ ^ [Y3: b > $o] :
( !!
@ ^ [Y4: b > $o] :
( !!
@ ^ [Y5: b > $o] :
( ( ( Y5
= ( ^ [Y6: b] :
( ( Y4 @ Y6 )
& ( Y3 @ Y6 ) ) ) )
& ( Y1 @ Y4 )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: ( b > $o ) > $o] :
( !!
@ ^ [Y4: b > $o] :
( ( ( Y4
= ( ^ [Y5: b] :
( ??
@ ^ [Y6: b > $o] :
( ( Y3 @ Y6 )
& ( Y6 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y5: b > $o] :
( ( Y3 @ Y5 )
=> ( Y1 @ Y5 ) ) ) )
=> ( Y1 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: b > $o] :
( ( Y3
= ( ^ [Y4: b] : $true ) )
=> ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: b > $o] :
( ( Y3
= ( ^ [Y4: b] : $false ) )
=> ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( !!
@ ^ [Y4: a > $o] :
( !!
@ ^ [Y5: a > $o] :
( ( ( Y5
= ( ^ [Y6: a] :
( ( Y4 @ Y6 )
& ( Y3 @ Y6 ) ) ) )
& ( Y0 @ Y4 )
& ( Y0 @ Y3 ) )
=> ( Y0 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y3: ( a > $o ) > $o] :
( !!
@ ^ [Y4: a > $o] :
( ( ( Y4
= ( ^ [Y5: a] :
( ??
@ ^ [Y6: a > $o] :
( ( Y3 @ Y6 )
& ( Y6 @ Y5 ) ) ) ) )
& ( !!
@ ^ [Y5: a > $o] :
( ( Y3 @ Y5 )
=> ( Y0 @ Y5 ) ) ) )
=> ( Y0 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( ( Y3
= ( ^ [Y4: a] : $true ) )
=> ( Y0 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( ( Y3
= ( ^ [Y4: a] : $false ) )
=> ( Y0 @ Y3 ) ) ) )
=> ( !!
@ ^ [Y3: b > $o] :
( ( !!
@ ^ [Y4: b > $o] :
( ( Y4
= ( ^ [Y5: b] : ( (~) @ ( Y3 @ Y5 ) ) ) )
=> ( Y1 @ Y4 ) ) )
=> ( !!
@ ^ [Y4: a > $o] :
( ( Y4
= ( ^ [Y5: a] : ( Y3 @ ( Y2 @ Y5 ) ) ) )
=> ( !!
@ ^ [Y5: a > $o] :
( ( Y5
= ( ^ [Y6: a] : ( (~) @ ( Y4 @ Y6 ) ) ) )
=> ( Y0 @ Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#C' ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#C' ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(lams2combs,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !! @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#C' @ ( '#B' @ '#C' @ ( '#C' @ ( '#B' @ '#C' @ ( '#C' @ ( '#B' @ '#C' @ ( '#S' @ ( '#B' @ '#C' @ ( '#S' @ ( '#B' @ '#C' @ ( '#S' @ ( '#B' @ '#C' @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) @ '#sk1' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#S' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#C' ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) ) ) ) ) ) ) @ '#I' ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) ) ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk1' ) ) ) @ '#sk1' ) ) ) ) @ '#sk1' ) ) ) ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk1' ) ) ) ) ) @ '#sk1' ) ) ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk1' ) ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk1' ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) ) ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#C' @ ( '#B' @ (&) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) @ '#sk1' ) ) ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk2' ) ) ) @ '#sk2' ) ) ) ) @ '#sk2' ) ) ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk2' ) ) ) ) ) @ '#sk2' ) ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk2' ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk2' ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk1' ) ) ) @ '#sk1' ) ) ) ) @ '#sk1' ) ) ) ) ) @ ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk1' ) ) ) ) ) @ '#sk1' ) ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk1' ) ) ) @ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk1' ) ) ) ) @ ( '#B' @ !! @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk2' ) ) ) ) @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ '#B' ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#C' @ '#B' @ '#sk3' ) ) ) ) @ '#sk1' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk2' ) ) ) @ '#sk2' ) ) ) ) @ '#sk2' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk2' ) ) ) ) ) @ '#sk2' ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk2' ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk2' ) )
& ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk1' ) ) ) @ '#sk1' ) ) ) ) @ '#sk1' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk1' ) ) ) ) ) @ '#sk1' ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk1' ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk1' ) ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk2' ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#C' @ '#B' @ '#sk3' ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( !! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#C' @ '#B' @ '#sk3' ) ) ) ) @ '#sk1' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk2' ) ) ) @ '#sk2' ) ) ) ) @ '#sk2' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk2' ) ) ) ) ) @ '#sk2' ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk2' ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk2' ) )
& ( !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#C' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#S' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ (&) ) ) @ ( '#B' @ ( '#B' @ ( '#C' @ (=) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) ) ) ) ) @ '#sk1' ) ) ) @ '#sk1' ) ) ) ) @ '#sk1' ) ) ) )
& ( !! @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#S' @ ( '#B' @ '#C' @ ( '#B' @ ( '#B' @ (&) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ ( '#B' @ ?? ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ (&) ) ) ) @ ( '#C' @ '#I' ) ) ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ (=>) ) ) @ '#sk1' ) ) ) ) ) @ '#sk1' ) ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $true ) ) ) @ '#sk1' ) )
& ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#K' @ $false ) ) ) @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ '#sk2' ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#C' @ '#B' @ '#sk3' ) ) ) ) @ '#sk1' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl17,plain,
! [X2: b > $o] :
( ( '#sk2' @ X2 )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ X2 @ '#sk3' ) ) ) @ '#sk1' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl28,plain,
! [X2: b > $o] :
( ~ ( '#sk2' @ X2 )
| ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ X2 @ '#sk3' ) ) ) @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl39,plain,
! [X2: b > $o,X4: a > $o] :
( ( ( X4
= ( '#B' @ X2 @ '#sk3' ) )
=> ( '#sk1' @ X4 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl51,plain,
! [X2: b > $o,X4: a > $o] :
( ( X4
!= ( '#B' @ X2 @ '#sk3' ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl59,plain,
! [X2: b > $o,X4: a > $o] :
( ( X4
!= ( '#B' @ X2 @ '#sk3' ) )
| ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl6,plain,
~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk2' ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#C' @ '#B' @ '#sk3' ) ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl16,plain,
~ ( ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ (~) @ '#sk4' ) ) ) @ '#sk2' ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ '#sk4' @ '#sk3' ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl27,plain,
~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ '#sk4' @ '#sk3' ) ) ) @ ( '#B' @ !! @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ (=) ) @ ( '#B' @ (~) ) ) ) ) @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl38,plain,
~ ( ( '#sk5'
= ( '#B' @ '#sk4' @ '#sk3' ) )
=> ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ (~) @ '#sk5' ) ) ) @ '#sk1' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl50,plain,
~ ( !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ (~) @ '#sk5' ) ) ) @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl58,plain,
~ ( ( '#sk6'
= ( '#B' @ (~) @ '#sk5' ) )
=> ( '#sk1' @ '#sk6' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl67,plain,
~ ( '#sk1' @ '#sk6' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl177,plain,
! [X0: b > $o] :
( ~ ( '#sk2' @ X0 )
| ( '#sk6'
!= ( '#B' @ X0 @ '#sk3' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl67]) ).
thf(zip_derived_cl26,plain,
!! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ (=) @ ( '#B' @ (~) @ '#sk4' ) ) ) @ '#sk2' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl37,plain,
! [X2: b > $o] :
( ( X2
= ( '#B' @ (~) @ '#sk4' ) )
=> ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl48,plain,
! [X2: b > $o] :
( ( X2
!= ( '#B' @ (~) @ '#sk4' ) )
| ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl56,plain,
! [X2: b > $o] :
( ( X2
!= ( '#B' @ (~) @ '#sk4' ) )
| ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl262,plain,
! [X0: b > $o] :
( ( '#sk6'
!= ( '#B' @ X0 @ '#sk3' ) )
| ( X0
!= ( '#B' @ (~) @ '#sk4' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl177,zip_derived_cl56]) ).
thf(zip_derived_cl359,plain,
( '#sk6'
!= ( '#B' @ ( '#B' @ (~) @ '#sk4' ) @ '#sk3' ) ),
inference(eq_res,[status(thm)],[zip_derived_cl262]) ).
thf(zip_derived_cl373,plain,
( ( '#sk6' @ '#sk17' )
!= ( (~) @ ( '#sk4' @ ( '#sk3' @ '#sk17' ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl359]) ).
thf(zip_derived_cl374,plain,
( ( '#sk6' @ '#sk17' )
= ( '#sk4' @ ( '#sk3' @ '#sk17' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl373]) ).
thf(zip_derived_cl49,plain,
( '#sk5'
= ( '#B' @ '#sk4' @ '#sk3' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl57,plain,
( '#sk5'
= ( '#B' @ '#sk4' @ '#sk3' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl91,plain,
! [X1: a] :
( ( '#sk5' @ X1 )
= ( '#B' @ '#sk4' @ '#sk3' @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl92,plain,
! [X1: a] :
( ( '#sk5' @ X1 )
= ( '#sk4' @ ( '#sk3' @ X1 ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl375,plain,
( ( '#sk5' @ '#sk17' )
= ( '#sk6' @ '#sk17' ) ),
inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl92]) ).
thf(zip_derived_cl66,plain,
( '#sk6'
= ( '#B' @ (~) @ '#sk5' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl74,plain,
( '#sk6'
= ( '#B' @ (~) @ '#sk5' ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl66]) ).
thf(zip_derived_cl93,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
= ( '#B' @ (~) @ '#sk5' @ X1 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl94,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
= ( (~) @ ( '#sk5' @ X1 ) ) ),
inference('comb-normalize',[status(thm)],[zip_derived_cl93]) ).
thf(zip_derived_cl95,plain,
! [X1: a] :
( ( '#sk6' @ X1 )
!= ( '#sk5' @ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl94]) ).
thf(zip_derived_cl381,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl375,zip_derived_cl95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV260^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bVjn8MhwJH true
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 03:18:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.65 % Total configuration time : 828
% 0.22/0.65 % Estimated wc time : 1656
% 0.22/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 3.52/1.36 % Solved by lams/40_b.comb.sh.
% 3.52/1.36 % done 78 iterations in 0.480s
% 3.52/1.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.52/1.36 % SZS output start Refutation
% See solution above
% 3.52/1.36
% 3.52/1.36
% 3.52/1.36 % Terminating...
% 3.52/1.48 % Runner terminated.
% 3.52/1.48 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------