TSTP Solution File: SEV292^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV292^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QeyCLpe0ih true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:00:20 EDT 2023
% Result : Theorem 1.72s 1.11s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 63 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 570 ( 152 equ; 72 cnn)
% Maximal formula atoms : 30 ( 10 avg)
% Number of connectives : 1740 ( 263 ~; 31 |; 313 &; 822 @)
% ( 0 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 382 ( 382 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 9 usr; 5 con; 0-2 aty)
% ( 53 !!; 180 ??; 0 @@+; 0 @@-)
% Number of variables : 457 ( 401 ^; 31 !; 25 ?; 457 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk7_type',type,
'#sk7': ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(c_less__eq__type,type,
c_less__eq_: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf('#sk25_type',type,
'#sk25': ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(cP_type,type,
cP: ( ( $i > $o ) > $o ) > $o ).
thf(cSUCC_type,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(cZERO_type,type,
cZERO: ( $i > $o ) > $o ).
thf(cONE_type,type,
cONE: ( $i > $o ) > $o ).
thf('#form24_type',type,
'#form24': ( ( $i > $o ) > $o ) > $o ).
thf('#sk278_type',type,
'#sk278': ( ( $i > $o ) > $o ) > $o ).
thf(c_less__eq__def,axiom,
( c_less__eq_
= ( ^ [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
! [Xp: ( ( $i > $o ) > $o ) > $o] :
( ( ( Xp @ Xx )
& ! [Xz: ( $i > $o ) > $o] :
( ( Xp @ Xz )
=> ( Xp @ ( cSUCC @ Xz ) ) ) )
=> ( Xp @ Xy ) ) ) ) ).
thf(cSUCC_def,axiom,
( cSUCC
= ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
? [Xx: $i] :
( ( Xn
@ ^ [Xt: $i] :
( ( Xt != Xx )
& ( Xp @ Xt ) ) )
& ( Xp @ Xx ) ) ) ) ).
thf('0',plain,
( cSUCC
= ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
? [Xx: $i] :
( ( Xn
@ ^ [Xt: $i] :
( ( Xt != Xx )
& ( Xp @ Xt ) ) )
& ( Xp @ Xx ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[cSUCC_def]) ).
thf('1',plain,
( cSUCC
= ( ^ [V_1: ( $i > $o ) > $o,V_2: $i > $o] :
? [X4: $i] :
( ( V_1
@ ^ [V_3: $i] :
( ( V_3 != X4 )
& ( V_2 @ V_3 ) ) )
& ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf('2',plain,
( c_less__eq_
= ( ^ [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
! [Xp: ( ( $i > $o ) > $o ) > $o] :
( ( ( Xp @ Xx )
& ! [Xz: ( $i > $o ) > $o] :
( ( Xp @ Xz )
=> ( Xp @ ( cSUCC @ Xz ) ) ) )
=> ( Xp @ Xy ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[c_less__eq__def,'1']) ).
thf('3',plain,
( c_less__eq_
= ( ^ [V_1: ( $i > $o ) > $o,V_2: ( $i > $o ) > $o] :
! [X4: ( ( $i > $o ) > $o ) > $o] :
( ( ( X4 @ V_1 )
& ! [X6: ( $i > $o ) > $o] :
( ( X4 @ X6 )
=> ( X4 @ ( cSUCC @ X6 ) ) ) )
=> ( X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(cONE_def,axiom,
( cONE
= ( cSUCC @ cZERO ) ) ).
thf(cZERO_def,axiom,
( cZERO
= ( ^ [Xp: $i > $o] :
~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
thf('4',plain,
( cZERO
= ( ^ [Xp: $i > $o] :
~ ? [Xx: $i] : ( Xp @ Xx ) ) ),
inference(simplify_rw_rule,[status(thm)],[cZERO_def]) ).
thf('5',plain,
( cZERO
= ( ^ [V_1: $i > $o] :
~ ? [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf('6',plain,
( cONE
= ( cSUCC @ cZERO ) ),
inference(simplify_rw_rule,[status(thm)],[cONE_def,'1','5']) ).
thf('7',plain,
( cONE
= ( cSUCC @ cZERO ) ),
define([status(thm)]) ).
thf(cBLEDSOE7A,conjecture,
( ( cP @ cONE )
=> ? [Xx: ( $i > $o ) > $o] :
( ( cP @ Xx )
& ( c_less__eq_ @ Xx @ ( cSUCC @ cONE ) )
& ( c_less__eq_ @ cZERO @ Xx ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( cP
@ ^ [V_1: $i > $o] :
? [X4: $i] :
( ( V_1 @ X4 )
& ~ ? [X6: $i] :
( ( V_1 @ X6 )
& ( X6 != X4 ) ) ) )
=> ? [X8: ( $i > $o ) > $o] :
( ! [X22: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X26: ( $i > $o ) > $o] :
( ( X22 @ X26 )
=> ( X22
@ ^ [V_6: $i > $o] :
? [X28: $i] :
( ( V_6 @ X28 )
& ( X26
@ ^ [V_7: $i] :
( ( V_6 @ V_7 )
& ( V_7 != X28 ) ) ) ) ) )
& ( X22
@ ^ [V_5: $i > $o] :
~ ? [X24: $i] : ( V_5 @ X24 ) ) )
=> ( X22 @ X8 ) )
& ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X12: ( $i > $o ) > $o] :
( ( X10 @ X12 )
=> ( X10
@ ^ [V_2: $i > $o] :
? [X14: $i] :
( ( V_2 @ X14 )
& ( X12
@ ^ [V_3: $i] :
( ( V_2 @ V_3 )
& ( V_3 != X14 ) ) ) ) ) )
& ( X10 @ X8 ) )
=> ( X10
@ ^ [V_4: $i > $o] :
? [X16: $i] :
( ( V_4 @ X16 )
& ? [X18: $i] :
( ( V_4 @ X18 )
& ( X18 != X16 )
& ~ ? [X20: $i] :
( ( V_4 @ X20 )
& ( X20 != X16 )
& ( X20 != X18 ) ) ) ) ) )
& ( cP @ X8 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( cP
@ ^ [V_1: $i > $o] :
? [X4: $i] :
( ( V_1 @ X4 )
& ~ ? [X6: $i] :
( ( V_1 @ X6 )
& ( X6 != X4 ) ) ) )
=> ? [X8: ( $i > $o ) > $o] :
( ! [X22: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X26: ( $i > $o ) > $o] :
( ( X22 @ X26 )
=> ( X22
@ ^ [V_6: $i > $o] :
? [X28: $i] :
( ( V_6 @ X28 )
& ( X26
@ ^ [V_7: $i] :
( ( V_6 @ V_7 )
& ( V_7 != X28 ) ) ) ) ) )
& ( X22
@ ^ [V_5: $i > $o] :
~ ? [X24: $i] : ( V_5 @ X24 ) ) )
=> ( X22 @ X8 ) )
& ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X12: ( $i > $o ) > $o] :
( ( X10 @ X12 )
=> ( X10
@ ^ [V_2: $i > $o] :
? [X14: $i] :
( ( V_2 @ X14 )
& ( X12
@ ^ [V_3: $i] :
( ( V_2 @ V_3 )
& ( V_3 != X14 ) ) ) ) ) )
& ( X10 @ X8 ) )
=> ( X10
@ ^ [V_4: $i > $o] :
? [X16: $i] :
( ( V_4 @ X16 )
& ? [X18: $i] :
( ( V_4 @ X18 )
& ( X18 != X16 )
& ~ ? [X20: $i] :
( ( V_4 @ X20 )
& ( X20 != X16 )
& ( X20 != X18 ) ) ) ) ) )
& ( cP @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( ( cP
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
=> ( ??
@ ^ [Y0: ( $i > $o ) > $o] :
( ( !!
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
& ( Y5 != Y4 ) ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: $i > $o] :
( (~)
@ ( ??
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
& ( Y5 != Y4 ) ) ) ) ) ) ) )
& ( Y1 @ Y0 ) )
=> ( Y1
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( ??
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 )
& ( (~)
@ ( ??
@ ^ [Y5: $i] :
( ( Y2 @ Y5 )
& ( Y5 != Y3 )
& ( Y5 != Y4 ) ) ) ) ) ) ) ) ) ) )
& ( cP @ Y0 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl2,plain,
~ ( ??
@ ^ [Y0: ( $i > $o ) > $o] :
( ( !!
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
& ( Y5 != Y4 ) ) ) ) ) ) ) )
& ( Y1
@ ^ [Y2: $i > $o] :
( (~)
@ ( ??
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
& ( !!
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ^ [Y3: $i > $o] :
( ??
@ ^ [Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2
@ ^ [Y5: $i] :
( ( Y3 @ Y5 )
& ( Y5 != Y4 ) ) ) ) ) ) ) )
& ( Y1 @ Y0 ) )
=> ( Y1
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( ??
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 )
& ( (~)
@ ( ??
@ ^ [Y5: $i] :
( ( Y2 @ Y5 )
& ( Y5 != Y3 )
& ( Y5 != Y4 ) ) ) ) ) ) ) ) ) ) )
& ( cP @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: ( $i > $o ) > $o] :
~ ( ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
& ( cP @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl25,plain,
~ ( ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
& ( cP
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl1,plain,
( cP
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl64,plain,
~ ( ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
& $true ),
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).
thf(zip_derived_cl65,plain,
~ ( ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) ),
inference('simplify boolean subterms',[status(thm)],[zip_derived_cl64]) ).
thf(zip_derived_cl66,plain,
( ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).
thf(zip_derived_cl3_001,plain,
! [X2: ( $i > $o ) > $o] :
~ ( ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 ) ) )
& ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
& ( cP @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl4,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ X2 ) ) )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( cP @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( ( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk7' @ X2 @ Y0 )
=> ( '#sk7' @ X2
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
& ( '#sk7' @ X2
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
=> ( '#sk7' @ X2 @ X2 ) )
| ~ ( cP @ X2 )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl7,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( '#sk7' @ X2 @ X2 )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ ( cP @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl10,plain,
! [X2: ( $i > $o ) > $o] :
( ( '#form24' @ X2 )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl67,plain,
( ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
( (~)
@ ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) ),
inference(renaming,[status(thm)],[zip_derived_cl66,zip_derived_cl10]) ).
thf(zip_derived_cl68,plain,
( ~ ( ( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk278' @ Y0 )
=> ( '#sk278'
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
& ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
=> ( '#sk278'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl67]) ).
thf(zip_derived_cl69,plain,
( ( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk278' @ Y0 )
=> ( '#sk278'
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
& ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl72,plain,
( ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl71,plain,
( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk278' @ Y0 )
=> ( '#sk278'
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl69]) ).
thf(zip_derived_cl73,plain,
! [X2: ( $i > $o ) > $o] :
( ( ( '#sk278' @ X2 )
=> ( '#sk278'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( X2
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl71]) ).
thf(zip_derived_cl76,plain,
( ( ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
=> ( '#sk278'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl79,plain,
( ~ ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
| ( '#sk278'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl70,plain,
( ~ ( '#sk278'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl68]) ).
thf(zip_derived_cl80,plain,
( ~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ~ ( '#sk278'
@ ^ [Y0: $i > $o] :
( (~)
@ ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl79,zip_derived_cl70]) ).
thf(zip_derived_cl81,plain,
~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl80]) ).
thf(zip_derived_cl10_002,plain,
! [X2: ( $i > $o ) > $o] :
( ( '#form24' @ X2 )
| ~ ( !!
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !!
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ??
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y4 != Y3 ) ) ) ) ) ) ) )
& ( Y0 @ X2 ) )
=> ( Y0
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( ??
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 )
& ( (~)
@ ( ??
@ ^ [Y4: $i] :
( ( Y1 @ Y4 )
& ( Y4 != Y2 )
& ( Y4 != Y3 ) ) ) ) ) ) ) ) ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( ( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk25' @ X2 @ Y0 )
=> ( '#sk25' @ X2
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
& ( '#sk25' @ X2 @ X2 ) )
=> ( '#sk25' @ X2
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl15,plain,
! [X2: ( $i > $o ) > $o] :
( ( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk25' @ X2 @ Y0 )
=> ( '#sk25' @ X2
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
& ( '#sk25' @ X2 @ X2 ) )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl19,plain,
! [X2: ( $i > $o ) > $o] :
( ( '#sk25' @ X2 @ X2 )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl18,plain,
! [X2: ( $i > $o ) > $o] :
( ( !!
@ ^ [Y0: ( $i > $o ) > $o] :
( ( '#sk25' @ X2 @ Y0 )
=> ( '#sk25' @ X2
@ ^ [Y1: $i > $o] :
( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y3 != Y2 ) ) ) ) ) ) ) )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl21,plain,
! [X2: ( $i > $o ) > $o,X4: ( $i > $o ) > $o] :
( ( ( '#sk25' @ X2 @ X4 )
=> ( '#sk25' @ X2
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( X4
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl23,plain,
! [X0: ( $i > $o ) > $o] :
( ( ( '#sk25' @ X0
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
=> ( '#sk25' @ X0
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) )
| ( '#form24' @ X0 ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl35,plain,
! [X0: ( $i > $o ) > $o] :
( ~ ( '#sk25' @ X0
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ( '#sk25' @ X0
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) )
| ( '#form24' @ X0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl110,plain,
( ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) )
| ( '#sk25'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl35]) ).
thf(zip_derived_cl81_003,plain,
~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl80]) ).
thf(zip_derived_cl81_004,plain,
~ ( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl72,zip_derived_cl80]) ).
thf(zip_derived_cl111,plain,
( '#sk25'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl110,zip_derived_cl81,zip_derived_cl81]) ).
thf(zip_derived_cl16,plain,
! [X2: ( $i > $o ) > $o] :
( ~ ( '#sk25' @ X2
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 )
& ( (~)
@ ( ??
@ ^ [Y3: $i] :
( ( Y0 @ Y3 )
& ( Y3 != Y1 )
& ( Y3 != Y2 ) ) ) ) ) ) ) ) )
| ( '#form24' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl122,plain,
( '#form24'
@ ^ [Y0: $i > $o] :
( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( (~)
@ ( ??
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y2 != Y1 ) ) ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl16]) ).
thf(zip_derived_cl127,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl81,zip_derived_cl122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEV292^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QeyCLpe0ih true
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 03:10:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.22/0.37 % Running in HO mode
% 0.22/0.70 % Total configuration time : 828
% 0.22/0.70 % Estimated wc time : 1656
% 0.22/0.70 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.14/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.14/0.80 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.14/0.80 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.14/0.82 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.46/0.84 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.72/1.11 % Solved by lams/20_acsne_simpl.sh.
% 1.72/1.11 % done 27 iterations in 0.224s
% 1.72/1.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.72/1.11 % SZS output start Refutation
% See solution above
% 1.72/1.11
% 1.72/1.11
% 1.72/1.11 % Terminating...
% 1.73/1.26 % Runner terminated.
% 1.89/1.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------