%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU909^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ecB67qLnSE 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 Oct 2 04:56:50 PM UTC 2025
% Result : Theorem 51.64s 7.14s
% Output : Refutation 51.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 13
% Syntax : Number of formulae : 81 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 603 ( 57 equ; 0 cnn)
% Maximal formula atoms : 31 ( 7 avg)
% Number of connectives : 1601 ( 104 ~; 141 |; 116 &; 833 @)
% ( 0 <=>; 222 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 196 ( 196 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 12 usr; 3 con; 0-3 aty)
% ( 175 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 381 ( 274 ^; 103 !; 4 ?; 381 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk37_type',type,
'#sk37': ( ( a > $o ) > $o ) > a ).
thf('#l_lift10130_type',type,
'#l_lift10130': ( a > $o ) > a > a > $o ).
thf('#sk22_type',type,
'#sk22': ( a > $o ) > ( a > $o ) > $o ).
thf('#l_lift10128_type',type,
'#l_lift10128': a > $o ).
thf('#form58_type',type,
'#form58': ( a > $o ) > $o ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#form48_type',type,
'#form48': ( a > $o ) > $o ).
thf(cA_type,type,
cA: ( a > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk17_type',type,
'#sk17': ( ( a > $o ) > $o ) > a > $o ).
thf('#sk49_type',type,
'#sk49': ( a > $o ) > a ).
thf('#l_lift10129_type',type,
'#l_lift10129': ( ( a > $o ) > $o ) > a > $o ).
thf(cDOMTHM8_pme,conjecture,
( ! [Xe: a > $o] :
( ( ! [Xx: a] :
( ( Xe @ Xx )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ Xx ) ) )
& ! [X: ( a > $o ) > $o] :
( ( ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt: a] :
( ( Xe @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe ) ) )
=> ( ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ? [Xe_0: a > $o] :
( ! [X: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X @ Xx0 )
=> ! [Xt: a] :
( ( Xe_0 @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe_0 ) )
& ! [Xx0: a] :
( ( Xe_0 @ Xx0 )
=> ( Xx @ Xx0 ) )
& ! [Xy: a > $o] :
( ( ! [Xx0: a] :
( ( Xe_0 @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) )
=> ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ( cA @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( cA @ Xx )
=> ( cA @ Xx ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xe: a > $o] :
( ( ! [Xx: a] :
( ( Xe @ Xx )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ Xx ) ) )
& ! [X: ( a > $o ) > $o] :
( ( ! [Xx: a > $o] :
( ( X @ Xx )
=> ! [Xt: a] :
( ( Xe @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe ) ) )
=> ( ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ? [Xe_0: a > $o] :
( ! [X: ( a > $o ) > $o] :
( ( ! [Xx0: a > $o] :
( ( X @ Xx0 )
=> ! [Xt: a] :
( ( Xe_0 @ Xt )
=> ( X
@ ^ [Xz: a] :
( ( Xt = Xz )
| ( Xx0 @ Xz ) ) ) ) )
& ( X
@ ^ [Xy: a] : $false ) )
=> ( X @ Xe_0 ) )
& ! [Xx0: a] :
( ( Xe_0 @ Xx0 )
=> ( Xx @ Xx0 ) )
& ! [Xy: a > $o] :
( ( ! [Xx0: a] :
( ( Xe_0 @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) )
=> ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xy @ Xx0 ) )
& ( cA @ Xy ) ) ) ) )
& ! [Xx: a > $o] :
( ( ! [Xx0: a] :
( ( Xe @ Xx0 )
=> ( Xx @ Xx0 ) )
& ( cA @ Xx ) )
=> ( cA @ Xx ) ) ) )
& ! [Xx: a > $o] :
( ( cA @ Xx )
=> ( cA @ Xx ) ) ),
inference('cnf.neg',[status(esa)],[cDOMTHM8_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a > $o] :
( ( cA @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !!
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( cA @ Y1 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( cA @ Y0 )
=> ( cA @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( ??
@ ^ [Y2: a > $o] :
( ( cA @ Y2 )
& ( Y2 @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ??
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y4: a > $o] :
( ( Y3 @ Y4 )
=> ( !!
@ ^ [Y5: a] :
( ( Y2 @ Y5 )
=> ( Y3
@ ^ [Y6: a] :
( ( Y5 = Y6 )
| ( Y4 @ Y6 ) ) ) ) ) ) )
& ( Y3
@ ^ [Y4: a] : $false ) )
=> ( Y3 @ Y2 ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: a > $o] :
( ( ( !!
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) )
=> ( ( !!
@ ^ [Y4: a] :
( ( Y0 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( cA @ Y3 ) ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( cA @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) ) )
=> ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ??
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y3: a > $o] :
( ( Y2 @ Y3 )
=> ( !!
@ ^ [Y4: a] :
( ( Y1 @ Y4 )
=> ( Y2
@ ^ [Y5: a] :
( ( Y4 = Y5 )
| ( Y3 @ Y5 ) ) ) ) ) ) )
& ( Y2
@ ^ [Y3: a] : $false ) )
=> ( Y2 @ Y1 ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
& ( !!
@ ^ [Y2: a > $o] :
( ( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) )
=> ( ( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( cA @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
& ( cA @ '#sk2' ) )
=> ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
~ ( ??
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y2: a > $o] :
( ( Y1 @ Y2 )
=> ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1
@ ^ [Y4: a] :
( ( Y3 = Y4 )
| ( Y2 @ Y4 ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: a] : $false ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( '#sk2' @ Y1 ) ) )
& ( !!
@ ^ [Y1: a > $o] :
( ( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) )
=> ( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( cA @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl16,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl18,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl127,plain,
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl128,plain,
( ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).
thf(zip_derived_cl16_001,plain,
! [X2: a > $o] :
~ ( ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
& ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl23,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( X2 @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl30,plain,
! [X2: a > $o] :
( ~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk22' @ X2
@ ^ [Y0: a] : $false ) )
=> ( '#sk22' @ X2 @ X2 ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl34,plain,
! [X2: a > $o] :
( ~ ( '#sk22' @ X2 @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl38,plain,
! [X2: a > $o] :
( ( '#form48' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl129,plain,
( ~ ( '#form48' @ '#sk1' )
| ~ ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl128,zip_derived_cl38]) ).
thf(zip_derived_cl130,plain,
( ~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk22' @ '#sk1'
@ ^ [Y0: a] : $false ) )
=> ( '#sk22' @ '#sk1' @ '#sk1' ) )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl129]) ).
thf(zip_derived_cl132,plain,
( ~ ( '#sk22' @ '#sk1' @ '#sk1' )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl38_002,plain,
! [X2: a > $o] :
( ( '#form48' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl39,plain,
! [X2: a > $o] :
( ~ ( ( X2 @ ( '#sk49' @ X2 ) )
=> ( '#sk2' @ ( '#sk49' @ X2 ) ) )
| ( '#form48' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl49,plain,
! [X2: a > $o] :
( ( X2 @ ( '#sk49' @ X2 ) )
| ( '#form48' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl10,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
& ( cA @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ Y0 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( '#sk2' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl28,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl512,plain,
( ( '#form48' @ '#sk1' )
| ( '#sk2' @ ( '#sk49' @ '#sk1' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl28]) ).
thf(zip_derived_cl50,plain,
! [X2: a > $o] :
( ~ ( '#sk2' @ ( '#sk49' @ X2 ) )
| ( '#form48' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl541,plain,
'#form48' @ '#sk1',
inference(clc,[status(thm)],[zip_derived_cl512,zip_derived_cl50]) ).
thf(zip_derived_cl542,plain,
~ ( '#sk22' @ '#sk1' @ '#sk1' ),
inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl541]) ).
thf(zip_derived_cl541_003,plain,
'#form48' @ '#sk1',
inference(clc,[status(thm)],[zip_derived_cl512,zip_derived_cl50]) ).
thf(zip_derived_cl33,plain,
! [X2: a > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk22' @ X2
@ ^ [Y0: a] : $false ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl36,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl36_004,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl43,plain,
! [X2: a > $o] :
( ( '#form58' @ X2 )
| ~ ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) )
=> ( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( cA @ Y0 ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl46,plain,
! [X2: a > $o] :
( ~ ( '#form58' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl36,zip_derived_cl43]) ).
thf(zip_derived_cl38_005,plain,
! [X2: a > $o] :
( ( '#form48' @ X2 )
| ~ ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk2' @ Y0 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl51,plain,
! [X2: a > $o] :
( ~ ( '#form48'
@ ^ [Y0: a] : ( X2 @ Y0 ) )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form58' @ X2 ) ),
inference(renaming,[status(thm)],[zip_derived_cl46,zip_derived_cl38]) ).
thf(zip_derived_cl57,plain,
! [X2: a > $o] :
( ~ ( '#form48' @ X2 )
| ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( '#sk22' @ X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form58' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl58,plain,
! [X2: a > $o,X4: a > $o] :
( ( ( '#sk22' @ X2 @ X4 )
=> ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk22' @ X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X4 @ Y1 ) ) ) ) ) )
| ~ ( '#form58' @ X2 )
| ~ ( '#form48' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl68,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( '#sk22' @ X2 @ X4 )
| ( !!
@ ^ [Y0: a] :
( ( X2 @ Y0 )
=> ( '#sk22' @ X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X4 @ Y1 ) ) ) ) )
| ~ ( '#form48' @ X2 )
| ~ ( '#form58' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl71,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( X2 @ X6 )
=> ( '#sk22' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) ) )
| ~ ( '#form58' @ X2 )
| ~ ( '#form48' @ X2 )
| ~ ( '#sk22' @ X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl75,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( X2 @ X6 )
| ( '#sk22' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) )
| ~ ( '#sk22' @ X2 @ X4 )
| ~ ( '#form48' @ X2 )
| ~ ( '#form58' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl3,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a > $o] :
( ( cA @ Y1 )
& ( Y1 @ Y0 ) ) ) ) )
& ( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y1: a > $o] :
( ( Y0 @ Y1 )
=> ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0
@ ^ [Y3: a] :
( ( Y2 = Y3 )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: a] : $false ) )
=> ( Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
! [X2: ( a > $o ) > $o] :
( ( ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
=> ( X2 @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( X2
@ ^ [Y0: a] : $false ) )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl21,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a > $o] :
( ( X2 @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( X2
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl27,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( X2 @ ( '#sk17' @ X2 ) )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( '#sk17' @ X2 @ Y1 ) ) ) ) ) )
| ( X2 @ '#sk1' )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl32,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( X2
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( '#sk17' @ X2 @ Y1 ) ) ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl35,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( ( '#sk1' @ ( '#sk37' @ X2 ) )
=> ( X2
@ ^ [Y0: a] :
( ( ( '#sk37' @ X2 )
= Y0 )
| ( '#sk17' @ X2 @ Y0 ) ) ) )
| ( X2 @ '#sk1' )
| ~ ( X2
@ ^ [Y0: a] : $false ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl42,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2
@ ^ [Y0: a] :
( ( ( '#sk37' @ X2 )
= Y0 )
| ( '#sk17' @ X2 @ Y0 ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl3982,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift10129' @ X2 @ X3 )
= ( ( ( '#sk37' @ X2 )
= X3 )
| ( '#sk17' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3986,plain,
! [X0: ( a > $o ) > $o] :
( ( '#l_lift10130' @ ( '#sk17' @ X0 ) @ ( '#sk37' @ X0 ) )
= ( '#l_lift10129' @ X0 ) ),
define([status(thm)]) ).
thf(zip_derived_cl42_006,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2
@ ^ [Y0: a] :
( ( ( '#sk37' @ X2 )
= Y0 )
| ( '#sk17' @ X2 @ Y0 ) ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl31,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk17' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl3979,plain,
! [X3: a] :
~ ( '#l_lift10128' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl3982_007,plain,
! [X2: ( a > $o ) > $o,X3: a] :
( ( '#l_lift10129' @ X2 @ X3 )
= ( ( ( '#sk37' @ X2 )
= X3 )
| ( '#sk17' @ X2 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl3983,plain,
! [X2: ( a > $o ) > $o] :
( ~ ( X2 @ ( '#l_lift10129' @ X2 ) )
| ~ ( X2 @ '#l_lift10128' )
| ( X2 @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl42,zip_derived_cl3979,zip_derived_cl3982]) ).
thf(zip_derived_cl41,plain,
! [X2: ( a > $o ) > $o] :
( ( '#sk1' @ ( '#sk37' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl3979_008,plain,
! [X3: a] :
~ ( '#l_lift10128' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl3981,plain,
! [X2: ( a > $o ) > $o] :
( ( '#sk1' @ ( '#sk37' @ X2 ) )
| ~ ( X2 @ '#l_lift10128' )
| ( X2 @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl41,zip_derived_cl3979]) ).
thf(zip_derived_cl131,plain,
( ( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
& ( '#sk22' @ '#sk1'
@ ^ [Y0: a] : $false ) )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl130]) ).
thf(zip_derived_cl134,plain,
( ( '#sk22' @ '#sk1'
@ ^ [Y0: a] : $false )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl3979_009,plain,
! [X3: a] :
~ ( '#l_lift10128' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl3990,plain,
( ( '#sk22' @ '#sk1' @ '#l_lift10128' )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl134,zip_derived_cl3979]) ).
thf(zip_derived_cl31_010,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk17' @ X2 ) )
| ~ ( X2
@ ^ [Y0: a] : $false )
| ( X2 @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl3979_011,plain,
! [X3: a] :
~ ( '#l_lift10128' @ X3 ),
define([status(thm)]) ).
thf(zip_derived_cl3980,plain,
! [X2: ( a > $o ) > $o] :
( ( X2 @ ( '#sk17' @ X2 ) )
| ~ ( X2 @ '#l_lift10128' )
| ( X2 @ '#sk1' ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl31,zip_derived_cl3979]) ).
thf(zip_derived_cl133,plain,
( ( !!
@ ^ [Y0: a > $o] :
( ( '#sk22' @ '#sk1' @ Y0 )
=> ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y2: a] :
( ( Y1 = Y2 )
| ( Y0 @ Y2 ) ) ) ) ) ) )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl131]) ).
thf(zip_derived_cl135,plain,
! [X2: a > $o] :
( ( ( '#sk22' @ '#sk1' @ X2 )
=> ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) ) ) )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl133]) ).
thf(zip_derived_cl143,plain,
! [X2: a > $o] :
( ~ ( '#sk22' @ '#sk1' @ X2 )
| ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y1: a] :
( ( Y0 = Y1 )
| ( X2 @ Y1 ) ) ) ) )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).
thf(zip_derived_cl144,plain,
! [X2: a > $o,X4: a] :
( ( ( '#sk1' @ X4 )
=> ( '#sk22' @ '#sk1'
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) ) )
| ~ ( '#form48' @ '#sk1' )
| ~ ( '#sk22' @ '#sk1' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl145,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk22' @ '#sk1'
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( '#sk22' @ '#sk1' @ X2 )
| ~ ( '#form48' @ '#sk1' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl541_012,plain,
'#form48' @ '#sk1',
inference(clc,[status(thm)],[zip_derived_cl512,zip_derived_cl50]) ).
thf(zip_derived_cl803,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk22' @ '#sk1'
@ ^ [Y0: a] :
( ( X4 = Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( '#sk22' @ '#sk1' @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl541]) ).
thf(zip_derived_cl75_013,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( X2 @ X6 )
| ( '#sk22' @ X2
@ ^ [Y0: a] :
( ( X6 = Y0 )
| ( X4 @ Y0 ) ) )
| ~ ( '#sk22' @ X2 @ X4 )
| ~ ( '#form48' @ X2 )
| ~ ( '#form58' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl3985,plain,
! [X4: a > $o,X6: a,X7: a] :
( ( '#l_lift10130' @ X4 @ X6 @ X7 )
= ( ( X6 = X7 )
| ( X4 @ X7 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl4019,plain,
! [X2: a > $o,X4: a] :
( ~ ( '#sk1' @ X4 )
| ( '#sk22' @ '#sk1' @ ( '#l_lift10130' @ X2 @ X4 ) )
| ~ ( '#sk22' @ '#sk1' @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl803,zip_derived_cl3985]) ).
thf(zip_derived_cl4020,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl542,zip_derived_cl541,zip_derived_cl3986,zip_derived_cl3983,zip_derived_cl3981,zip_derived_cl3990,zip_derived_cl3980,zip_derived_cl4019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU909^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ecB67qLnSE true
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:00:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.50/0.63 % Total configuration time : 828
% 0.50/0.63 % Estimated wc time : 1656
% 0.50/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 51.64/7.14 % Solved by lams/20_acsne_simpl.sh.
% 51.64/7.14 % done 442 iterations in 6.344s
% 51.64/7.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 51.64/7.14 % SZS output start Refutation
% See solution above
% 51.64/7.14
% 51.64/7.14
% 51.64/7.14 % Terminating...
% 52.49/7.28 % Runner terminated.
% 52.49/7.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------