%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV191^5 : 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.OWZF0IgTaD true
% Computer : n017.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 04:57:21 PM UTC 2025
% Result : Theorem 0.62s 0.91s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 105 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 687 ( 354 equ; 0 cnn)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 1497 ( 89 ~; 145 |; 243 &; 799 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 15 usr; 16 con; 0-3 aty)
% ( 42 !!; 150 ??; 0 @@+; 0 @@-)
% Number of variables : 282 ( 192 ^; 66 !; 24 ?; 282 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk5_type',type,
'#sk5': a ).
thf('#sk8_type',type,
'#sk8': a ).
thf('#sk9_type',type,
'#sk9': a ).
thf(c0_type,type,
c0: a ).
thf('#form12_type',type,
'#form12': $o ).
thf('#sk6_type',type,
'#sk6': a ).
thf('#sk4_type',type,
'#sk4': a ).
thf('#sk2_type',type,
'#sk2': a > a > a > $o ).
thf(cP_type,type,
cP: a > a > a ).
thf('#form13_type',type,
'#form13': $o ).
thf('#sk10_type',type,
'#sk10': a ).
thf('#sk3_type',type,
'#sk3': a ).
thf('#sk1_type',type,
'#sk1': a > a > a > $o ).
thf('#sk11_type',type,
'#sk11': a ).
thf('#sk7_type',type,
'#sk7': a ).
thf(cS_JOINFN_MONOTONE_pme,conjecture,
( ! [R: a > a > a > $o,S: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) )
=> ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) ) ) )
& ! [R: a > a > a > $o] :
( $true
=> $true ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [R: a > a > a > $o,S: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( R @ Xa @ Xb @ Xc )
=> ( S @ Xa @ Xb @ Xc ) )
=> ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) )
=> ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( S @ Xx1 @ Xy1 @ Xz1 )
& ( S @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = c0 ) )
| ( ( Xb = Xc )
& ( Xa = c0 ) ) ) ) )
& ! [R: a > a > a > $o] :
( $true
=> $true ) ),
inference('cnf.neg',[status(esa)],[cS_JOINFN_MONOTONE_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > a > a > $o] :
( !!
@ ^ [Y1: a > a > a > $o] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y1 @ Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ??
@ ^ [Y10: a] :
( ( Y2
= ( cP @ Y5 @ Y6 ) )
& ( Y3
= ( cP @ Y7 @ Y8 ) )
& ( Y4
= ( cP @ Y9 @ Y10 ) )
& ( Y0 @ Y5 @ Y7 @ Y9 )
& ( Y0 @ Y6 @ Y8 @ Y10 ) ) ) ) ) ) ) )
| ( ( Y2 = Y4 )
& ( Y3 = c0 ) )
| ( ( Y3 = Y4 )
& ( Y2 = c0 ) ) )
=> ( ( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ??
@ ^ [Y10: a] :
( ( Y2
= ( cP @ Y5 @ Y6 ) )
& ( Y3
= ( cP @ Y7 @ Y8 ) )
& ( Y4
= ( cP @ Y9 @ Y10 ) )
& ( Y1 @ Y5 @ Y7 @ Y9 )
& ( Y1 @ Y6 @ Y8 @ Y10 ) ) ) ) ) ) ) )
| ( ( Y2 = Y4 )
& ( Y3 = c0 ) )
| ( ( Y3 = Y4 )
& ( Y2 = c0 ) ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > a > a > $o] :
( $true
=> $true ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > a > a > $o] :
( !!
@ ^ [Y1: a > a > a > $o] :
( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y3 @ Y4 )
=> ( Y1 @ Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ??
@ ^ [Y10: a] :
( ( Y2
= ( cP @ Y5 @ Y6 ) )
& ( Y3
= ( cP @ Y7 @ Y8 ) )
& ( Y4
= ( cP @ Y9 @ Y10 ) )
& ( Y0 @ Y5 @ Y7 @ Y9 )
& ( Y0 @ Y6 @ Y8 @ Y10 ) ) ) ) ) ) ) )
| ( ( Y2 = Y4 )
& ( Y3 = c0 ) )
| ( ( Y3 = Y4 )
& ( Y2 = c0 ) ) )
=> ( ( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ??
@ ^ [Y10: a] :
( ( Y2
= ( cP @ Y5 @ Y6 ) )
& ( Y3
= ( cP @ Y7 @ Y8 ) )
& ( Y4
= ( cP @ Y9 @ Y10 ) )
& ( Y1 @ Y5 @ Y7 @ Y9 )
& ( Y1 @ Y6 @ Y8 @ Y10 ) ) ) ) ) ) ) )
| ( ( Y2 = Y4 )
& ( Y3 = c0 ) )
| ( ( Y3 = Y4 )
& ( Y2 = c0 ) ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y1 @ Y2 @ Y3 )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( '#sk1' @ Y4 @ Y6 @ Y8 )
& ( '#sk1' @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = c0 ) )
| ( ( Y2 = Y3 )
& ( Y1 = c0 ) ) )
=> ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = c0 ) )
| ( ( Y2 = Y3 )
& ( Y1 = c0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk1' @ Y3 @ Y5 @ Y7 )
& ( '#sk1' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) )
=> ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk2' @ Y3 @ Y5 @ Y7 )
& ( '#sk2' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl5,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk1' @ Y3 @ Y5 @ Y7 )
& ( '#sk1' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) )
=> ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk2' @ Y3 @ Y5 @ Y7 )
& ( '#sk2' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = c0 ) )
| ( ( Y1 = Y2 )
& ( Y0 = c0 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ( '#sk3'
= ( cP @ Y2 @ Y3 ) )
& ( Y0
= ( cP @ Y4 @ Y5 ) )
& ( Y1
= ( cP @ Y6 @ Y7 ) )
& ( '#sk1' @ Y2 @ Y4 @ Y6 )
& ( '#sk1' @ Y3 @ Y5 @ Y7 ) ) ) ) ) ) ) )
| ( ( '#sk3' = Y1 )
& ( Y0 = c0 ) )
| ( ( Y0 = Y1 )
& ( '#sk3' = c0 ) ) )
=> ( ( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ( '#sk3'
= ( cP @ Y2 @ Y3 ) )
& ( Y0
= ( cP @ Y4 @ Y5 ) )
& ( Y1
= ( cP @ Y6 @ Y7 ) )
& ( '#sk2' @ Y2 @ Y4 @ Y6 )
& ( '#sk2' @ Y3 @ Y5 @ Y7 ) ) ) ) ) ) ) )
| ( ( '#sk3' = Y1 )
& ( Y0 = c0 ) )
| ( ( Y0 = Y1 )
& ( '#sk3' = c0 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl9,plain,
~ ( !!
@ ^ [Y0: a] :
( ( ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ( '#sk3'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk4'
= ( cP @ Y3 @ Y4 ) )
& ( Y0
= ( cP @ Y5 @ Y6 ) )
& ( '#sk1' @ Y1 @ Y3 @ Y5 )
& ( '#sk1' @ Y2 @ Y4 @ Y6 ) ) ) ) ) ) ) )
| ( ( '#sk3' = Y0 )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = Y0 )
& ( '#sk3' = c0 ) ) )
=> ( ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ( '#sk3'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk4'
= ( cP @ Y3 @ Y4 ) )
& ( Y0
= ( cP @ Y5 @ Y6 ) )
& ( '#sk2' @ Y1 @ Y3 @ Y5 )
& ( '#sk2' @ Y2 @ Y4 @ Y6 ) ) ) ) ) ) ) )
| ( ( '#sk3' = Y0 )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = Y0 )
& ( '#sk3' = c0 ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl11,plain,
~ ( ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk1' @ Y0 @ Y2 @ Y4 )
& ( '#sk1' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) )
=> ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk2' @ Y0 @ Y2 @ Y4 )
& ( '#sk2' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl13,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk1' @ Y0 @ Y2 @ Y4 )
& ( '#sk1' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl15,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk1' @ Y0 @ Y2 @ Y4 )
& ( '#sk1' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ( '#sk3'
= ( cP @ '#sk6' @ Y0 ) )
& ( '#sk4'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk5'
= ( cP @ Y3 @ Y4 ) )
& ( '#sk1' @ '#sk6' @ Y1 @ Y3 )
& ( '#sk1' @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl23,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
& ( '#sk4'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk5'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk1' @ '#sk6' @ Y0 @ Y2 )
& ( '#sk1' @ '#sk7' @ Y1 @ Y3 ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl27,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
& ( '#sk4'
= ( cP @ '#sk8' @ Y0 ) )
& ( '#sk5'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk1' @ '#sk6' @ '#sk8' @ Y1 )
& ( '#sk1' @ '#sk7' @ Y0 @ Y2 ) ) ) ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl29,plain,
( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
& ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
& ( '#sk5'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk1' @ '#sk6' @ '#sk8' @ Y0 )
& ( '#sk1' @ '#sk7' @ '#sk9' @ Y1 ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
( ( ??
@ ^ [Y0: a] :
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
& ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
& ( '#sk5'
= ( cP @ '#sk10' @ Y0 ) )
& ( '#sk1' @ '#sk6' @ '#sk8' @ '#sk10' )
& ( '#sk1' @ '#sk7' @ '#sk9' @ Y0 ) ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl33,plain,
( ( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
& ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
& ( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) )
& ( '#sk1' @ '#sk6' @ '#sk8' @ '#sk10' )
& ( '#sk1' @ '#sk7' @ '#sk9' @ '#sk11' ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl39,plain,
( ( '#sk1' @ '#sk7' @ '#sk9' @ '#sk11' )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl35,plain,
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl41,plain,
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl51,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk1' @ '#sk7' @ '#sk9' @ '#sk11' ) ),
inference(renaming,[status(thm)],[zip_derived_cl39,zip_derived_cl42]) ).
thf(zip_derived_cl41_001,plain,
( ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42_002,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl45,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl53,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl62,plain,
( '#form13'
| ( '#sk1' @ '#sk7' @ '#sk9' @ '#sk11' )
| '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl51,zip_derived_cl53]) ).
thf(zip_derived_cl53_003,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl54,plain,
( ( '#sk3' = '#sk5' )
| ~ '#form13' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl63,plain,
( ( '#sk3' = '#sk5' )
| ~ '#form13' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl55,plain,
( ( '#sk4' = c0 )
| ~ '#form13' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl64,plain,
( ( '#sk4' = c0 )
| ~ '#form13' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl14,plain,
~ ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk2' @ Y0 @ Y2 @ Y4 )
& ( '#sk2' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
~ ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl21,plain,
( ( '#sk3' != '#sk5' )
| ( '#sk4' != c0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
( ( '#sk3' != '#sk5' )
| ( '#sk4' != c0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl70,plain,
( ( '#sk4' != '#sk4' )
| ~ '#form13'
| ( '#sk3' != '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl25]) ).
thf(zip_derived_cl71,plain,
( ( '#sk3' != '#sk5' )
| ~ '#form13' ),
inference(simplify,[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl73,plain,
~ '#form13',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(zip_derived_cl42_004,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl44,plain,
( ( '#sk3' = c0 )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl58,plain,
( ( '#sk3' = c0 )
| ~ '#form12' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl18,plain,
~ ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl22,plain,
( ( '#sk4' != '#sk5' )
| ( '#sk3' != c0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl26,plain,
( ( '#sk4' != '#sk5' )
| ( '#sk3' != c0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl65,plain,
( ( '#sk3' != '#sk3' )
| ~ '#form12'
| ( '#sk4' != '#sk5' ) ),
inference('sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl26]) ).
thf(zip_derived_cl67,plain,
( ( '#sk4' != '#sk5' )
| ~ '#form12' ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl43,plain,
( ( '#sk4' = '#sk5' )
| ~ '#form12' ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl57,plain,
( ( '#sk4' = '#sk5' )
| ~ '#form12' ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl43]) ).
thf(zip_derived_cl72,plain,
~ '#form12',
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl57]) ).
thf(zip_derived_cl84,plain,
'#sk1' @ '#sk7' @ '#sk9' @ '#sk11',
inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ Y1 @ Y2 )
=> ( '#sk2' @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ X2 @ Y0 @ Y1 )
=> ( '#sk2' @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl8,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ X4 @ Y0 )
=> ( '#sk2' @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ X2 @ X4 @ X6 )
=> ( '#sk2' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl12,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X2 @ X4 @ X6 )
| ( '#sk2' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl85,plain,
'#sk2' @ '#sk7' @ '#sk9' @ '#sk11',
inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl12]) ).
thf(zip_derived_cl38,plain,
( ( '#sk1' @ '#sk6' @ '#sk8' @ '#sk10' )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl42_005,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl50,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk1' @ '#sk6' @ '#sk8' @ '#sk10' ) ),
inference(renaming,[status(thm)],[zip_derived_cl38,zip_derived_cl42]) ).
thf(zip_derived_cl53_006,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl61,plain,
( '#form13'
| ( '#sk1' @ '#sk6' @ '#sk8' @ '#sk10' )
| '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl50,zip_derived_cl53]) ).
thf(zip_derived_cl73_007,plain,
~ '#form13',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(zip_derived_cl72_008,plain,
~ '#form12',
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl57]) ).
thf(zip_derived_cl79,plain,
'#sk1' @ '#sk6' @ '#sk8' @ '#sk10',
inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl12_009,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( '#sk1' @ X2 @ X4 @ X6 )
| ( '#sk2' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl80,plain,
'#sk2' @ '#sk6' @ '#sk8' @ '#sk10',
inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl12]) ).
thf(zip_derived_cl16,plain,
~ ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( '#sk3'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk4'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk5'
= ( cP @ Y4 @ Y5 ) )
& ( '#sk2' @ Y0 @ Y2 @ Y4 )
& ( '#sk2' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
~ ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ( '#sk3'
= ( cP @ X2 @ Y0 ) )
& ( '#sk4'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk5'
= ( cP @ Y3 @ Y4 ) )
& ( '#sk2' @ X2 @ Y1 @ Y3 )
& ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl24,plain,
! [X2: a,X4: a] :
~ ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ( '#sk3'
= ( cP @ X2 @ X4 ) )
& ( '#sk4'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk5'
= ( cP @ Y2 @ Y3 ) )
& ( '#sk2' @ X2 @ Y0 @ Y2 )
& ( '#sk2' @ X4 @ Y1 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a,X6: a] :
~ ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ( '#sk3'
= ( cP @ X2 @ X4 ) )
& ( '#sk4'
= ( cP @ X6 @ Y0 ) )
& ( '#sk5'
= ( cP @ Y1 @ Y2 ) )
& ( '#sk2' @ X2 @ X6 @ Y1 )
& ( '#sk2' @ X4 @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X2: a,X4: a,X6: a,X8: a] :
~ ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ( '#sk3'
= ( cP @ X2 @ X4 ) )
& ( '#sk4'
= ( cP @ X6 @ X8 ) )
& ( '#sk5'
= ( cP @ Y0 @ Y1 ) )
& ( '#sk2' @ X2 @ X6 @ Y0 )
& ( '#sk2' @ X4 @ X8 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a,X6: a,X8: a,X10: a] :
~ ( ??
@ ^ [Y0: a] :
( ( '#sk3'
= ( cP @ X2 @ X4 ) )
& ( '#sk4'
= ( cP @ X6 @ X8 ) )
& ( '#sk5'
= ( cP @ X10 @ Y0 ) )
& ( '#sk2' @ X2 @ X6 @ X10 )
& ( '#sk2' @ X4 @ X8 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl34,plain,
! [X2: a,X4: a,X6: a,X8: a,X10: a,X12: a] :
~ ( ( '#sk3'
= ( cP @ X2 @ X4 ) )
& ( '#sk4'
= ( cP @ X6 @ X8 ) )
& ( '#sk5'
= ( cP @ X10 @ X12 ) )
& ( '#sk2' @ X2 @ X6 @ X10 )
& ( '#sk2' @ X4 @ X8 @ X12 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: a,X6: a,X8: a,X10: a,X12: a] :
( ( '#sk3'
!= ( cP @ X2 @ X4 ) )
| ( '#sk4'
!= ( cP @ X6 @ X8 ) )
| ( '#sk5'
!= ( cP @ X10 @ X12 ) )
| ~ ( '#sk2' @ X2 @ X6 @ X10 )
| ~ ( '#sk2' @ X4 @ X8 @ X12 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl52,plain,
! [X2: a,X4: a,X6: a,X8: a,X10: a,X12: a] :
( ( '#sk3'
!= ( cP @ X2 @ X4 ) )
| ( '#sk4'
!= ( cP @ X6 @ X8 ) )
| ( '#sk5'
!= ( cP @ X10 @ X12 ) )
| ~ ( '#sk2' @ X2 @ X6 @ X10 )
| ~ ( '#sk2' @ X4 @ X8 @ X12 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl82,plain,
! [X0: a,X1: a,X2: a] :
( ~ ( '#sk2' @ X2 @ X1 @ X0 )
| ( '#sk5'
!= ( cP @ '#sk10' @ X0 ) )
| ( '#sk4'
!= ( cP @ '#sk8' @ X1 ) )
| ( '#sk3'
!= ( cP @ '#sk6' @ X2 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl52]) ).
thf(zip_derived_cl93,plain,
( ( '#sk3'
!= ( cP @ '#sk6' @ '#sk7' ) )
| ( '#sk4'
!= ( cP @ '#sk8' @ '#sk9' ) )
| ( '#sk5'
!= ( cP @ '#sk10' @ '#sk11' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl82]) ).
thf(zip_derived_cl45_010,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).
thf(zip_derived_cl53_011,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl56,plain,
( '#form13'
| ( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) )
| '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl45,zip_derived_cl53]) ).
thf(zip_derived_cl73_012,plain,
~ '#form13',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(zip_derived_cl72_013,plain,
~ '#form12',
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl57]) ).
thf(zip_derived_cl74,plain,
( '#sk3'
= ( cP @ '#sk6' @ '#sk7' ) ),
inference(demod,[status(thm)],[zip_derived_cl56,zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl36,plain,
( ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl46,plain,
( ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl42_014,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl47,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl46,zip_derived_cl42]) ).
thf(zip_derived_cl53_015,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl59,plain,
( '#form13'
| ( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) )
| '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl47,zip_derived_cl53]) ).
thf(zip_derived_cl73_016,plain,
~ '#form13',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(zip_derived_cl72_017,plain,
~ '#form12',
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl57]) ).
thf(zip_derived_cl75,plain,
( '#sk4'
= ( cP @ '#sk8' @ '#sk9' ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl37,plain,
( ( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl48,plain,
( ( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) )
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) )
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl42_018,plain,
( ~ '#form12'
| ( ( '#sk4' = '#sk5' )
& ( '#sk3' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl49,plain,
( '#form12'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) )
| ( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl48,zip_derived_cl42]) ).
thf(zip_derived_cl53_019,plain,
( ~ '#form13'
| ( ( '#sk3' = '#sk5' )
& ( '#sk4' = c0 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl60,plain,
( '#form13'
| ( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) )
| '#form12' ),
inference(renaming,[status(thm)],[zip_derived_cl49,zip_derived_cl53]) ).
thf(zip_derived_cl73_020,plain,
~ '#form13',
inference(clc,[status(thm)],[zip_derived_cl63,zip_derived_cl71]) ).
thf(zip_derived_cl72_021,plain,
~ '#form12',
inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl57]) ).
thf(zip_derived_cl78,plain,
( '#sk5'
= ( cP @ '#sk10' @ '#sk11' ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl73,zip_derived_cl72]) ).
thf(zip_derived_cl97,plain,
( ( '#sk3' != '#sk3' )
| ( '#sk4' != '#sk4' )
| ( '#sk5' != '#sk5' ) ),
inference(demod,[status(thm)],[zip_derived_cl93,zip_derived_cl74,zip_derived_cl75,zip_derived_cl78]) ).
thf(zip_derived_cl98,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SEV191^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.16 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OWZF0IgTaD true
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Oct 1 15:39:38 EDT 2025
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in HO mode
% 0.61/0.71 % Total configuration time : 828
% 0.61/0.71 % Estimated wc time : 1656
% 0.61/0.71 % Estimated cpu time (8 cpus) : 207.0
% 0.61/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.62/0.91 % Solved by lams/35_full_unif4.sh.
% 0.62/0.91 % done 26 iterations in 0.038s
% 0.62/0.91 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.62/0.91 % SZS output start Refutation
% See solution above
% 0.62/0.91
% 0.62/0.91
% 0.62/0.91 % Terminating...
% 2.11/1.00 % Runner terminated.
% 2.11/1.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------