TSTP Solution File: SEV089^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV089^5 : 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.PsTQIEN9Wy true
% Computer : n016.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 19:59:33 EDT 2023
% Result : Theorem 12.39s 2.27s
% Output : Refutation 12.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 10
% Syntax : Number of formulae : 134 ( 14 unt; 8 typ; 0 def)
% Number of atoms : 546 ( 258 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1427 ( 124 ~; 139 |; 83 &; 957 @)
% ( 0 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 71 ( 71 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 4 con; 0-2 aty)
% ( 36 !!; 33 ??; 0 @@+; 0 @@-)
% Number of variables : 263 ( 120 ^; 131 !; 12 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a > $o ).
thf('#sk15_type',type,
'#sk15': ( a > a ) > a ).
thf('#sk2_type',type,
'#sk2': a > $o ).
thf('#sk58_type',type,
'#sk58': ( a > a ) > a > a ).
thf('#sk12_type',type,
'#sk12': a > a ).
thf('#sk3_type',type,
'#sk3': a > a ).
thf('#sk8_type',type,
'#sk8': ( a > a ) > a ).
thf(cEQP_1B_pme,conjecture,
! [Xx: a > $o,Xy: a > $o] :
( ? [Xs: a > a] :
( ! [Xy0: a] :
( ( Xy @ Xy0 )
=> ? [Xy_38: a] :
( ( ^ [Xx0: a] :
( ( Xx @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_38 ) ) )
& ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ( Xy @ ( Xs @ Xx0 ) ) ) )
=> ? [Xs: a > a] :
( ! [Xy0: a] :
( ( Xx @ Xy0 )
=> ? [Xy_39: a] :
( ( ^ [Xx0: a] :
( ( Xy @ Xx0 )
& ( Xy0
= ( Xs @ Xx0 ) ) ) )
= ( ^ [Xx: a,Xy: a] : ( Xx = Xy )
@ Xy_39 ) ) )
& ! [Xx0: a] :
( ( Xy @ Xx0 )
=> ( Xx @ ( Xs @ Xx0 ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: a > $o,X6: a > $o] :
( ? [X8: a > a] :
( ! [X14: a] :
( ( X4 @ X14 )
=> ( X6 @ ( X8 @ X14 ) ) )
& ! [X10: a] :
( ( X6 @ X10 )
=> ? [X12: a] :
( ( ^ [V_1: a] :
( ( X10
= ( X8 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X12 = V_2 ) ) ) ) )
=> ? [X16: a > a] :
( ! [X22: a] :
( ( X6 @ X22 )
=> ( X4 @ ( X16 @ X22 ) ) )
& ! [X18: a] :
( ( X4 @ X18 )
=> ? [X20: a] :
( ( ^ [V_3: a] :
( ( X18
= ( X16 @ V_3 ) )
& ( X6 @ V_3 ) ) )
= ( ^ [V_4: a] : ( X20 = V_4 ) ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: a > $o,X6: a > $o] :
( ? [X8: a > a] :
( ! [X14: a] :
( ( X4 @ X14 )
=> ( X6 @ ( X8 @ X14 ) ) )
& ! [X10: a] :
( ( X6 @ X10 )
=> ? [X12: a] :
( ( ^ [V_1: a] :
( ( X10
= ( X8 @ V_1 ) )
& ( X4 @ V_1 ) ) )
= ( ^ [V_2: a] : ( X12 = V_2 ) ) ) ) )
=> ? [X16: a > a] :
( ! [X22: a] :
( ( X6 @ X22 )
=> ( X4 @ ( X16 @ X22 ) ) )
& ! [X18: a] :
( ( X4 @ X18 )
=> ? [X20: a] :
( ( ^ [V_3: a] :
( ( X18
= ( X16 @ V_3 ) )
& ( X6 @ V_3 ) ) )
= ( ^ [V_4: a] : ( X20 = V_4 ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( Y1 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( Y0 @ Y5 ) ) )
= ( ^ [Y5: a] : ( Y4 = Y5 ) ) ) ) ) ) ) )
=> ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( Y1 @ Y5 ) ) )
= ( ^ [Y5: a] : ( Y4 = Y5 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( Y0 @ Y5 ) ) )
= ( a = Y4 ) ) ) ) ) ) )
=> ( ??
@ ^ [Y2: a > a] :
( ( !!
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
=> ( Y0 @ ( Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y3: a] :
( ( Y0 @ Y3 )
=> ( ??
@ ^ [Y4: a] :
( ( ^ [Y5: a] :
( ( Y3
= ( Y2 @ Y5 ) )
& ( Y1 @ Y5 ) ) )
= ( a = Y4 ) ) ) ) ) ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( Y0 @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( '#sk1' @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) )
=> ( ??
@ ^ [Y1: a > a] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( '#sk1' @ ( Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y2 )
=> ( ??
@ ^ [Y3: a] :
( ( ^ [Y4: a] :
( ( Y2
= ( Y1 @ Y4 ) )
& ( Y0 @ Y4 ) ) )
= ( a = Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk1' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( '#sk2' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk1' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl6,plain,
( ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk3' @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk3' @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( '#sk3' @ Y2 ) )
& ( '#sk1' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: a] :
( ( '#sk2' @ X2 )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk3' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( X2
= ( '#sk3' @ Y1 ) )
& ( '#sk1' @ Y1 ) ) )
= ( a = Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk3' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= ( a
= ( '#sk12' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk3' @ Y0 ) )
& ( '#sk1' @ Y0 ) ) )
= ( a
= ( '#sk12' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X3: a] :
( ( ( ^ [Y0: a] :
( ( X2
= ( '#sk3' @ Y0 ) )
& ( '#sk1' @ Y0 ) )
@ X3 )
= ( ( '#sk12' @ X2 )
= X3 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X3: a] :
( ( ( ( X2
= ( '#sk3' @ X3 ) )
& ( '#sk1' @ X3 ) )
= ( ( '#sk12' @ X2 )
= X3 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X3: a] :
( ( '#sk1' @ X3 )
| ( ( ( X2
= ( '#sk3' @ X3 ) )
& $false )
= ( ( '#sk12' @ X2 )
= X3 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X3: a] :
( ( '#sk1' @ X3 )
| ( ( '#sk12' @ X2 )
!= X3 )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl37]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X3: a] :
( ( '#sk1' @ X3 )
| ( ( '#sk12' @ X2 )
!= X3 )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl40,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( '#sk2' @ ( '#sk3' @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
! [X2: a] :
( ( '#sk1' @ X2 )
=> ( '#sk2' @ ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl14,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl40_001,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl40_002,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl5,plain,
~ ( ??
@ ^ [Y0: a > a] :
( ( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y1 )
=> ( '#sk1' @ ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 )
=> ( ??
@ ^ [Y2: a] :
( ( ^ [Y3: a] :
( ( Y1
= ( Y0 @ Y3 ) )
& ( '#sk2' @ Y3 ) ) )
= ( a = Y2 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: a > a] :
~ ( ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk1' @ ( X2 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: a > a] :
( ~ ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 )
=> ( '#sk1' @ ( X2 @ Y0 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: a > a] :
( ~ ( ( '#sk2' @ ( '#sk8' @ X2 ) )
=> ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: a > a] :
( ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk15' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl25,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl27,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl29,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
!= ( a = X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl81,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15'
@ ^ [Y0: a] : ( X2 @ Y0 ) )
= ( X2
@ ( '#sk58'
@ ^ [Y0: a] : ( X2 @ Y0 )
@ X4 ) ) )
& ( '#sk2'
@ ( '#sk58'
@ ^ [Y0: a] : ( X2 @ Y0 )
@ X4 ) ) )
!= ( X4
= ( '#sk58'
@ ^ [Y0: a] : ( X2 @ Y0 )
@ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl82,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl672,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& $false )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl673,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl672]) ).
thf(zip_derived_cl674,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl673]) ).
thf(zip_derived_cl787,plain,
! [X0: a] :
( ~ ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( '#sk2' @ ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl674]) ).
thf(zip_derived_cl16,plain,
! [X2: a > a] :
( ( '#sk2' @ ( '#sk8' @ X2 ) )
| ~ ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 )
=> ( ??
@ ^ [Y1: a] :
( ( ^ [Y2: a] :
( ( Y0
= ( X2 @ Y2 ) )
& ( '#sk2' @ Y2 ) ) )
= ( a = Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: a > a] :
( ~ ( ( '#sk1' @ ( '#sk15' @ X2 ) )
=> ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl23,plain,
! [X2: a > a] :
( ~ ( ??
@ ^ [Y0: a] :
( ( ^ [Y1: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y1 ) )
& ( '#sk2' @ Y1 ) ) )
= ( a = Y0 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl26,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl28,plain,
! [X2: a > a,X4: a] :
( ( ( ^ [Y0: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ Y0 ) )
& ( '#sk2' @ Y0 ) ) )
!= ( a = X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl30,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15'
@ ^ [Y0: a] : ( X2 @ Y0 ) )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(neg_ext,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl31,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl138,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& $false )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(bool_hoist,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl139,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl138]) ).
thf(zip_derived_cl140,plain,
! [X2: a > a,X4: a] :
( ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl139]) ).
thf(zip_derived_cl818,plain,
! [X0: a] :
( ( '#sk2' @ ( '#sk58' @ '#sk12' @ X0 ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl787,zip_derived_cl140]) ).
thf(zip_derived_cl82_003,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl819,plain,
! [X0: a] :
( ( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) ) )
& $true )
!= ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl818,zip_derived_cl82]) ).
thf(zip_derived_cl830,plain,
! [X0: a] :
( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) ) )
!= ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl819]) ).
thf(zip_derived_cl1578,plain,
! [X0: a] :
( ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference(eq_hoist,[status(thm)],[zip_derived_cl830]) ).
thf(zip_derived_cl1579,plain,
! [X0: a] :
( ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) )
| ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1578]) ).
thf(zip_derived_cl1580,plain,
! [X0: a] :
( ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) )
| ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1579]) ).
thf(zip_derived_cl818_004,plain,
! [X0: a] :
( ( '#sk2' @ ( '#sk58' @ '#sk12' @ X0 ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl787,zip_derived_cl140]) ).
thf(zip_derived_cl40_005,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( '#sk1' @ ( '#sk12' @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl24,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk15' @ X2 ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl52,plain,
( ~ ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( '#sk1' @ ( '#sk15' @ '#sk12' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl24]) ).
thf(zip_derived_cl22,plain,
! [X2: a > a] :
( ( '#sk1' @ ( '#sk15' @ X2 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl54,plain,
'#sk1' @ ( '#sk15' @ '#sk12' ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
thf(zip_derived_cl33_006,plain,
! [X2: a,X3: a] :
( ( ( ( X2
= ( '#sk3' @ X3 ) )
& ( '#sk1' @ X3 ) )
= ( ( '#sk12' @ X2 )
= X3 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl55,plain,
! [X0: a] :
( ( ( ( X0
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
& $true )
= ( ( '#sk12' @ X0 )
= ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl54,zip_derived_cl33]) ).
thf(zip_derived_cl58,plain,
! [X0: a] :
( ( ( X0
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( ( '#sk12' @ X0 )
= ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl73,plain,
! [X0: a] :
( ( X0
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( ( '#sk12' @ X0 )
!= ( '#sk15' @ '#sk12' ) )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl78,plain,
! [X0: a] :
( ( X0
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( ( '#sk12' @ X0 )
!= ( '#sk15' @ '#sk12' ) )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl822,plain,
! [X0: a] :
( ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( ( '#sk12' @ ( '#sk58' @ '#sk12' @ X0 ) )
!= ( '#sk15' @ '#sk12' ) )
| ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl818,zip_derived_cl78]) ).
thf(zip_derived_cl1586,plain,
! [X0: a] :
( ( ( '#sk15' @ '#sk12' )
!= ( '#sk15' @ '#sk12' ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) )
| ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1580,zip_derived_cl822]) ).
thf(zip_derived_cl1632,plain,
! [X0: a] :
( ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1586]) ).
thf(zip_derived_cl1664,plain,
! [X0: a] :
( ~ ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1632]) ).
thf(zip_derived_cl14_007,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl31_008,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl136,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl141,plain,
! [X2: a > a,X4: a] :
( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl517,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl141]) ).
thf(zip_derived_cl519,plain,
! [X2: a > a,X4: a] :
( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) )
| ( X4
= ( '#sk58' @ X2 @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl517]) ).
thf(zip_derived_cl33_009,plain,
! [X2: a,X3: a] :
( ( ( ( X2
= ( '#sk3' @ X3 ) )
& ( '#sk1' @ X3 ) )
= ( ( '#sk12' @ X2 )
= X3 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl35,plain,
! [X2: a,X3: a] :
( ( ( X2
= ( '#sk3' @ X3 ) )
& ( '#sk1' @ X3 ) )
| ( ( '#sk12' @ X2 )
!= X3 )
| ~ ( '#sk2' @ X2 ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X3: a] :
( ( ( X2
= ( '#sk3' @ X3 ) )
& ( '#sk1' @ X3 ) )
| ( ( '#sk12' @ X2 )
!= X3 )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl42,plain,
! [X2: a] :
( ~ ( '#sk2' @ X2 )
| ( ( X2
= ( '#sk3' @ ( '#sk12' @ X2 ) ) )
& ( '#sk1' @ ( '#sk12' @ X2 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl115,plain,
! [X2: a] :
( ( X2
= ( '#sk3' @ ( '#sk12' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl117,plain,
! [X2: a] :
( ( X2
= ( '#sk3' @ ( '#sk12' @ X2 ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl115]) ).
thf(zip_derived_cl561,plain,
! [X0: a] :
( ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ~ ( '#sk2' @ ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl519,zip_derived_cl117]) ).
thf(zip_derived_cl818_010,plain,
! [X0: a] :
( ( '#sk2' @ ( '#sk58' @ '#sk12' @ X0 ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl787,zip_derived_cl140]) ).
thf(zip_derived_cl839,plain,
! [X0: a] :
( ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl561,zip_derived_cl818]) ).
thf(zip_derived_cl864,plain,
! [X0: a] :
( ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= X0 )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl839]) ).
thf(zip_derived_cl866,plain,
( ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl31_011,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ( '#sk2' @ ( '#sk8' @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).
thf(zip_derived_cl886,plain,
( ( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
!= ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl866,zip_derived_cl31]) ).
thf(zip_derived_cl894,plain,
( ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
!= ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl886]) ).
thf(zip_derived_cl1172,plain,
( ~ ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl894]) ).
thf(zip_derived_cl1177,plain,
( ~ ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1172]) ).
thf(zip_derived_cl1178,plain,
( ~ ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference(local_rewriting,[status(thm)],[zip_derived_cl1177]) ).
thf(zip_derived_cl14_012,plain,
! [X2: a] :
( ~ ( '#sk1' @ X2 )
| ( '#sk2' @ ( '#sk3' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl58_013,plain,
! [X0: a] :
( ( ( X0
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( ( '#sk12' @ X0 )
= ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl75,plain,
! [X0: a] :
( ( ( '#sk12' @ X0 )
= ( '#sk15' @ '#sk12' ) )
| ( X0
!= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference(eq_hoist,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl76,plain,
! [X0: a] :
( ( ( '#sk12' @ X0 )
= ( '#sk15' @ '#sk12' ) )
| ( X0
!= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk2' @ X0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl77,plain,
( ~ ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( ( '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( '#sk15' @ '#sk12' ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl87,plain,
( ~ ( '#sk1' @ ( '#sk15' @ '#sk12' ) )
| ( ( '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( '#sk15' @ '#sk12' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl77]) ).
thf(zip_derived_cl54_014,plain,
'#sk1' @ ( '#sk15' @ '#sk12' ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
thf(zip_derived_cl89,plain,
( ( '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( '#sk15' @ '#sk12' ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl54]) ).
thf(zip_derived_cl1179,plain,
( ~ ( ( ( '#sk15' @ '#sk12' )
= ( '#sk15' @ '#sk12' ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1178,zip_derived_cl89]) ).
thf(zip_derived_cl1180,plain,
( ~ ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1179]) ).
thf(zip_derived_cl866_015,plain,
( ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl1185,plain,
( ( '#sk2' @ ( '#sk8' @ '#sk12' ) )
| ~ ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1180,zip_derived_cl866]) ).
thf(zip_derived_cl1189,plain,
( ~ ( '#sk1' @ ( '#sk15' @ '#sk12' ) )
| ( '#sk2' @ ( '#sk8' @ '#sk12' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl1185]) ).
thf(zip_derived_cl54_016,plain,
'#sk1' @ ( '#sk15' @ '#sk12' ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
thf(zip_derived_cl1191,plain,
'#sk2' @ ( '#sk8' @ '#sk12' ),
inference(demod,[status(thm)],[zip_derived_cl1189,zip_derived_cl54]) ).
thf(zip_derived_cl1666,plain,
! [X0: a] :
( ( X0
= ( '#sk58' @ '#sk12' @ X0 ) )
| ( ( '#sk58' @ '#sk12' @ X0 )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1664,zip_derived_cl1191]) ).
thf(zip_derived_cl1704,plain,
! [X0: a] :
( ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
!= X0 )
| ( X0
= ( '#sk58' @ '#sk12' @ X0 ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1666]) ).
thf(zip_derived_cl1706,plain,
( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1704]) ).
thf(zip_derived_cl82_017,plain,
! [X2: a > a,X4: a] :
( ( ( ( ( '#sk15' @ X2 )
= ( X2 @ ( '#sk58' @ X2 @ X4 ) ) )
& ( '#sk2' @ ( '#sk58' @ X2 @ X4 ) ) )
!= ( X4
= ( '#sk58' @ X2 @ X4 ) ) )
| ~ ( '#sk1' @ ( X2 @ ( '#sk8' @ X2 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl1790,plain,
( ( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk12' @ ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
!= ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1706,zip_derived_cl82]) ).
thf(zip_derived_cl1706_018,plain,
( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1704]) ).
thf(zip_derived_cl89_019,plain,
( ( '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
= ( '#sk15' @ '#sk12' ) ),
inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl54]) ).
thf(zip_derived_cl1706_020,plain,
( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk58' @ '#sk12' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1704]) ).
thf(zip_derived_cl1809,plain,
( ( ( ( ( '#sk15' @ '#sk12' )
= ( '#sk15' @ '#sk12' ) )
& ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
!= ( ( '#sk3' @ ( '#sk15' @ '#sk12' ) )
= ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1790,zip_derived_cl1706,zip_derived_cl89,zip_derived_cl1706]) ).
thf(zip_derived_cl1810,plain,
( ~ ( '#sk2' @ ( '#sk3' @ ( '#sk15' @ '#sk12' ) ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl1809]) ).
thf(zip_derived_cl1826,plain,
( ~ ( '#sk1' @ ( '#sk15' @ '#sk12' ) )
| ~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl1810]) ).
thf(zip_derived_cl54_021,plain,
'#sk1' @ ( '#sk15' @ '#sk12' ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl22]) ).
thf(zip_derived_cl1828,plain,
~ ( '#sk1' @ ( '#sk12' @ ( '#sk8' @ '#sk12' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1826,zip_derived_cl54]) ).
thf(zip_derived_cl1831,plain,
~ ( '#sk2' @ ( '#sk8' @ '#sk12' ) ),
inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl1828]) ).
thf(zip_derived_cl1191_022,plain,
'#sk2' @ ( '#sk8' @ '#sk12' ),
inference(demod,[status(thm)],[zip_derived_cl1189,zip_derived_cl54]) ).
thf(zip_derived_cl1834,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1831,zip_derived_cl1191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV089^5 : 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.PsTQIEN9Wy true
% 0.17/0.35 % Computer : n016.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 03:12:08 EDT 2023
% 0.17/0.36 % CPUTime :
% 0.17/0.36 % Running portfolio for 300 s
% 0.17/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % 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
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 12.39/2.27 % Solved by lams/35_full_unif4.sh.
% 12.39/2.27 % done 255 iterations in 1.507s
% 12.39/2.27 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.39/2.27 % SZS output start Refutation
% See solution above
% 12.39/2.27
% 12.39/2.27
% 12.39/2.27 % Terminating...
% 12.39/2.41 % Runner terminated.
% 12.39/2.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------