TSTP Solution File: SEV106^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV106^5 : 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.VypAUIi9DI true
% Computer : n002.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 19:59:37 EDT 2023
% Result : Theorem 53.54s 7.54s
% Output : Refutation 53.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 4 unt; 12 typ; 0 def)
% Number of atoms : 628 ( 213 equ; 0 cnn)
% Maximal formula atoms : 39 ( 6 avg)
% Number of connectives : 1615 ( 144 ~; 130 |; 181 &; 882 @)
% ( 0 <=>; 128 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 94 ( 94 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 3 con; 0-2 aty)
% ( 99 !!; 51 ??; 0 @@+; 0 @@-)
% Number of variables : 310 ( 157 ^; 141 !; 12 ?; 310 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk4_type',type,
'#sk4': a > a ).
thf('#sk5_type',type,
'#sk5': a > a ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#l_lift48096_type',type,
'#l_lift48096': ( a > a ) > a > a ).
thf('#sk68_type',type,
'#sk68': ( a > a ) > a > a ).
thf('#sk3_type',type,
'#sk3': a > $o ).
thf('#sk24_type',type,
'#sk24': a > a ).
thf('#sk25_type',type,
'#sk25': a > a ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk20_type',type,
'#sk20': ( a > a ) > a ).
thf('#sk12_type',type,
'#sk12': ( a > a ) > a ).
thf(cEQP1_1C_pme,conjecture,
! [Xx: a > $o,Xy: a > $o,Xz: a > $o] :
( ( ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xy @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) )
& ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xx @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xx @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [Xx: a > $o,Xy: a > $o,Xz: a > $o] :
( ( ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xy @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) )
& ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xx @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) ) )
=> ? [Xs: a > a] :
( ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xz @ ( Xs @ Xx0 ) ) )
& ! [Xy0: a] :
( ( Xz @ Xy0 )
=> ? [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) )
& ! [Xz0: a] :
( ( ( Xy0
= ( Xs @ Xz0 ) )
& ( Xx @ Xz0 ) )
=> ( Xz0 = Xx0 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cEQP1_1C_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( !!
@ ^ [Y2: a > $o] :
( ( ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( Y1 @ Y5 )
& ( Y4
= ( Y3 @ Y5 ) )
& ( !!
@ ^ [Y6: a] :
( ( ( Y4
= ( Y3 @ Y6 ) )
& ( Y1 @ Y6 ) )
=> ( Y6 = Y5 ) ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y1 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( Y0 @ Y5 )
& ( Y4
= ( Y3 @ Y5 ) )
& ( !!
@ ^ [Y6: a] :
( ( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) )
=> ( Y6 = Y5 ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y3: a > a] :
( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y2 @ ( Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( ??
@ ^ [Y5: a] :
( ( Y0 @ Y5 )
& ( Y4
= ( Y3 @ Y5 ) )
& ( !!
@ ^ [Y6: a] :
( ( ( Y4
= ( Y3 @ Y6 ) )
& ( Y0 @ Y6 ) )
=> ( Y6 = Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
& ( Y3
= ( Y2 @ Y4 ) )
& ( !!
@ ^ [Y5: a] :
( ( ( Y3
= ( Y2 @ Y5 ) )
& ( Y0 @ Y5 ) )
=> ( Y5 = Y4 ) ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y0 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( '#sk1' @ Y4 )
& ( Y3
= ( Y2 @ Y4 ) )
& ( !!
@ ^ [Y5: a] :
( ( ( Y3
= ( Y2 @ Y5 ) )
& ( '#sk1' @ Y5 ) )
=> ( Y5 = Y4 ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y1 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( '#sk1' @ Y4 )
& ( Y3
= ( Y2 @ Y4 ) )
& ( !!
@ ^ [Y5: a] :
( ( ( Y3
= ( Y2 @ Y5 ) )
& ( '#sk1' @ Y5 ) )
=> ( Y5 = Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( '#sk2' @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) )
& ( !!
@ ^ [Y4: a] :
( ( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk2' @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( '#sk2' @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) )
& ( !!
@ ^ [Y4: a] :
( ( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk1' @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
& ( Y2
= ( Y1 @ Y3 ) )
& ( !!
@ ^ [Y4: a] :
( ( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk1' @ Y4 ) )
=> ( Y4 = Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) )
& ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk2' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ ( '#sk4' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( '#sk4' @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( '#sk4' @ Y2 ) )
& ( '#sk2' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
& ( Y0
= ( '#sk4' @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( '#sk4' @ Y2 ) )
& ( '#sk2' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( '#sk3' @ X2 )
=> ( ??
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( X2
= ( '#sk4' @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( X2
= ( '#sk4' @ Y1 ) )
& ( '#sk2' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( ~ ( '#sk3' @ X2 )
| ( ??
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
& ( X2
= ( '#sk4' @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( X2
= ( '#sk4' @ Y1 ) )
& ( '#sk2' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl29,plain,
! [X2: a] :
( ( ( '#sk2' @ ( '#sk24' @ X2 ) )
& ( X2
= ( '#sk4' @ ( '#sk24' @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( X2
= ( '#sk4' @ Y0 ) )
& ( '#sk2' @ Y0 ) )
=> ( Y0
= ( '#sk24' @ X2 ) ) ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl35,plain,
! [X2: a] :
( ( '#sk2' @ ( '#sk24' @ X2 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl7,plain,
( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk5' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( '#sk5' @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( '#sk5' @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( '#sk5' @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( '#sk5' @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
=> ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( X2
= ( '#sk5' @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( X2
= ( '#sk5' @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( X2
= ( '#sk5' @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( X2
= ( '#sk5' @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
! [X2: a] :
( ( ( '#sk1' @ ( '#sk25' @ X2 ) )
& ( X2
= ( '#sk5' @ ( '#sk25' @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( ( X2
= ( '#sk5' @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk25' @ X2 ) ) ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl38,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl5,plain,
~ ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk3' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk3' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
& ( Y1
= ( Y0 @ Y2 ) )
& ( !!
@ ^ [Y3: a] :
( ( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) )
=> ( Y3 = Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: a > a] :
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ ( X2 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( X2 @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: a > a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk3' @ ( X2 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( X2 @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk12' @ X2 ) )
=> ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( X2 @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl22,plain,
! [X2: a > a] :
( ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( X2 @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a] :
( ~ ( ( '#sk3' @ ( '#sk20' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl34,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl42,plain,
! [X2: a > a,X4: a] :
( ~ ( ( '#sk1' @ X4 )
& ( ( '#sk20' @ X2 )
= ( X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl48,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl53,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl54,plain,
! [X2: a > a,X4: a] :
( ~ ( ( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) ) )
=> ( ( '#sk68' @ X2 @ X4 )
= X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl53]) ).
thf(zip_derived_cl62,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk68' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl72,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk68' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl62]) ).
thf(zip_derived_cl93,plain,
! [X0: a,X1: a > a] :
( ~ ( '#sk2' @ X0 )
| ~ ( '#sk3' @ ( X1 @ ( '#sk12' @ X1 ) ) )
| ( ( '#sk20' @ X1 )
!= ( X1 @ ( '#sk25' @ X0 ) ) )
| ( ( '#sk68' @ X1 @ ( '#sk25' @ X0 ) )
!= ( '#sk25' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl72]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk3' @ ( '#sk4' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
=> ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl21,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk12' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk3' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
& ( Y0
= ( X2 @ Y1 ) )
& ( !!
@ ^ [Y2: a] :
( ( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk1' @ Y2 ) )
=> ( Y2 = Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl27,plain,
! [X2: a > a] :
( ~ ( ( '#sk3' @ ( '#sk20' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl31,plain,
! [X2: a > a] :
( ( '#sk3' @ ( '#sk20' @ X2 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl36,plain,
! [X2: a] :
( ( X2
= ( '#sk4' @ ( '#sk24' @ X2 ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl43,plain,
! [X2: a] :
( ( X2
= ( '#sk4' @ ( '#sk24' @ X2 ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl32,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
& ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( !!
@ ^ [Y1: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk1' @ Y1 ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl41,plain,
! [X2: a > a,X4: a] :
( ~ ( ( '#sk1' @ X4 )
& ( ( '#sk20' @ X2 )
= ( X2 @ X4 ) )
& ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl47,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl51,plain,
! [X2: a > a,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0 = X4 ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl52,plain,
! [X2: a > a,X4: a] :
( ~ ( ( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) ) )
=> ( ( '#sk68' @ X2 @ X4 )
= X4 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl60,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk68' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl69,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk68' @ X2 @ X4 )
!= X4 )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl60]) ).
thf(zip_derived_cl61,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).
thf(zip_derived_cl71,plain,
! [X2: a > a,X4: a] :
( ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl38_001,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl71_002,plain,
! [X2: a > a,X4: a] :
( ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl175,plain,
! [X0: a,X1: a > a] :
( ~ ( '#sk2' @ X0 )
| ( ( '#sk20' @ X1 )
!= ( X1 @ ( '#sk25' @ X0 ) ) )
| ~ ( '#sk3' @ ( X1 @ ( '#sk12' @ X1 ) ) )
| ( '#sk1' @ ( '#sk68' @ X1 @ ( '#sk25' @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl71]) ).
thf(zip_derived_cl23_003,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl33,plain,
! [X2: a > a] :
( ( '#sk3' @ ( '#sk20' @ X2 ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl105,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk12'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk20'
@ ^ [Y0: a] :
( '#sk4'
@ ( ^ [Y1: a] : ( X0 @ Y1 )
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl33]) ).
thf(zip_derived_cl107,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk12'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk20'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl107_004,plain,
! [X0: a > a] :
( ~ ( '#sk2'
@ ( X0
@ ( '#sk12'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) )
| ( '#sk3'
@ ( '#sk20'
@ ^ [Y0: a] : ( '#sk4' @ ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl9991,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift48096' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl9991_005,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift48096' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl9992,plain,
! [X0: a > a] :
( ~ ( '#sk2' @ ( X0 @ ( '#sk12' @ ( '#l_lift48096' @ X0 ) ) ) )
| ( '#sk3' @ ( '#sk20' @ ( '#l_lift48096' @ X0 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl107,zip_derived_cl9991,zip_derived_cl9991]) ).
thf(zip_derived_cl38_006,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl39,plain,
! [X2: a] :
( ( X2
= ( '#sk5' @ ( '#sk25' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl45,plain,
! [X2: a] :
( ( X2
= ( '#sk5' @ ( '#sk25' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl38_007,plain,
! [X2: a] :
( ( '#sk1' @ ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl70,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl61]) ).
thf(zip_derived_cl74,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
| ~ ( '#sk3' @ ( X2 @ ( '#sk12' @ X2 ) ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl70]) ).
thf(zip_derived_cl124,plain,
! [X0: a,X1: a > a] :
( ~ ( '#sk2' @ X0 )
| ( ( '#sk20' @ X1 )
!= ( X1 @ ( '#sk25' @ X0 ) ) )
| ~ ( '#sk3' @ ( X1 @ ( '#sk12' @ X1 ) ) )
| ( ( '#sk20' @ X1 )
= ( X1 @ ( '#sk68' @ X1 @ ( '#sk25' @ X0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl74]) ).
thf(zip_derived_cl59,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
& ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ X4 )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl68,plain,
! [X2: a > a,X4: a] :
( ( '#sk1' @ ( '#sk68' @ X2 @ X4 ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl40,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( ( X2
= ( '#sk5' @ Y0 ) )
& ( '#sk1' @ Y0 ) )
=> ( Y0
= ( '#sk25' @ X2 ) ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl46,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
=> ( X4
= ( '#sk25' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl50,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl57,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk5' @ X4 ) )
& ( '#sk1' @ X4 ) )
| ( X4
= ( '#sk25' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl50]) ).
thf(zip_derived_cl58,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk5' @ X4 ) )
| ~ ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X2 )
| ( X4
= ( '#sk25' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl65,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk5' @ X4 ) )
| ~ ( '#sk1' @ X4 )
| ~ ( '#sk2' @ X2 )
| ( X4
= ( '#sk25' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl66,plain,
! [X4: a] :
( ( X4
= ( '#sk25' @ ( '#sk5' @ X4 ) ) )
| ~ ( '#sk2' @ ( '#sk5' @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk5' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( '#sk2' @ ( '#sk5' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk5' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl76,plain,
! [X4: a] :
( ~ ( '#sk1' @ X4 )
| ( X4
= ( '#sk25' @ ( '#sk5' @ X4 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl25]) ).
thf(zip_derived_cl25_008,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk5' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl9991_009,plain,
! [X0: a > a,X1: a] :
( ( '#l_lift48096' @ X0 @ X1 )
= ( '#sk4' @ ( X0 @ X1 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl37,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: a] :
( ( ( X2
= ( '#sk4' @ Y0 ) )
& ( '#sk2' @ Y0 ) )
=> ( Y0
= ( '#sk24' @ X2 ) ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: a] :
( ( ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
=> ( X4
= ( '#sk24' @ X2 ) ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl49,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
| ( X4
= ( '#sk24' @ X2 ) )
| ~ ( '#sk3' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl55,plain,
! [X2: a,X4: a] :
( ~ ( ( X2
= ( '#sk4' @ X4 ) )
& ( '#sk2' @ X4 ) )
| ( X4
= ( '#sk24' @ X2 ) )
| ~ ( '#sk3' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl56,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( X4
= ( '#sk24' @ X2 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl63,plain,
! [X2: a,X4: a] :
( ( X2
!= ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 )
| ~ ( '#sk3' @ X2 )
| ( X4
= ( '#sk24' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl56]) ).
thf(zip_derived_cl64,plain,
! [X4: a] :
( ( X4
= ( '#sk24' @ ( '#sk4' @ X4 ) ) )
| ~ ( '#sk3' @ ( '#sk4' @ X4 ) )
| ~ ( '#sk2' @ X4 ) ),
inference(simplify,[status(thm)],[zip_derived_cl63]) ).
thf(zip_derived_cl23_010,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk3' @ ( '#sk4' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl75,plain,
! [X4: a] :
( ~ ( '#sk2' @ X4 )
| ( X4
= ( '#sk24' @ ( '#sk4' @ X4 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl23]) ).
thf(zip_derived_cl67,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl59]) ).
thf(zip_derived_cl73,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk20' @ X2 )
= ( X2 @ ( '#sk68' @ X2 @ X4 ) ) )
| ( '#sk1' @ ( '#sk12' @ X2 ) )
| ( ( '#sk20' @ X2 )
!= ( X2 @ X4 ) )
| ~ ( '#sk1' @ X4 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl10004,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl35,zip_derived_cl93,zip_derived_cl23,zip_derived_cl31,zip_derived_cl43,zip_derived_cl69,zip_derived_cl71,zip_derived_cl175,zip_derived_cl9992,zip_derived_cl38,zip_derived_cl45,zip_derived_cl124,zip_derived_cl68,zip_derived_cl76,zip_derived_cl25,zip_derived_cl9991,zip_derived_cl75,zip_derived_cl73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV106^5 : 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.VypAUIi9DI true
% 0.17/0.35 % Computer : n002.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 03:35:46 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 53.54/7.54 % Solved by lams/20_acsne_simpl.sh.
% 53.54/7.54 % done 822 iterations in 6.686s
% 53.54/7.54 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 53.54/7.54 % SZS output start Refutation
% See solution above
% 53.54/7.54
% 53.54/7.54
% 53.54/7.54 % Terminating...
% 53.54/7.66 % Runner terminated.
% 53.54/7.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------