TSTP Solution File: SEU481^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU481^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zDB4DXmitt true
% Computer : n026.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 19:13:15 EDT 2023
% Result : Theorem 47.55s 6.80s
% Output : Refutation 47.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 63 ( 20 unt; 11 typ; 0 def)
% Number of atoms : 230 ( 15 equ; 8 cnn)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 906 ( 39 ~; 37 |; 43 &; 557 @)
% ( 0 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 139 ( 139 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 5 con; 0-4 aty)
% ( 110 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 269 ( 144 ^; 115 !; 10 ?; 269 :)
% Comments :
%------------------------------------------------------------------------------
thf('#sk10_type',type,
'#sk10': $i ).
thf(subrel_type,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf('#sk2_type',type,
'#sk2': $i > $o ).
thf('#sk1_type',type,
'#sk1': $i > $i > $o ).
thf('#sk26_type',type,
'#sk26': ( $i > $o ) > $i > $i > $i > $o ).
thf(tc_type,type,
tc: ( $i > $i > $o ) > $i > $i > $o ).
thf(term_type,type,
term: ( $i > $i > $o ) > $o ).
thf(trans_type,type,
trans: ( $i > $i > $o ) > $o ).
thf('#sk9_type',type,
'#sk9': ( $i > $o ) > $i ).
thf(ind_type,type,
ind: ( $i > $i > $o ) > $o ).
thf('#sk20_type',type,
'#sk20': $i > $i ).
thf(satisfying_the_induction_principle,axiom,
( ind
= ( ^ [R: $i > $i > $o] :
! [P: $i > $o] :
( ! [X: $i] :
( ! [Y: $i] :
( ( tc @ R @ X @ Y )
=> ( P @ Y ) )
=> ( P @ X ) )
=> ! [X: $i] : ( P @ X ) ) ) ) ).
thf(transitive_closure,axiom,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ) ).
thf(transitive,axiom,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ) ).
thf('0',plain,
( trans
= ( ^ [R: $i > $i > $o] :
! [X: $i,Y: $i,Z: $i] :
( ( ( R @ X @ Y )
& ( R @ Y @ Z ) )
=> ( R @ X @ Z ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive]) ).
thf('1',plain,
( trans
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i,X6: $i,X8: $i] :
( ( ( V_1 @ X4 @ X6 )
& ( V_1 @ X6 @ X8 ) )
=> ( V_1 @ X4 @ X8 ) ) ) ),
define([status(thm)]) ).
thf(subrel,axiom,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ) ).
thf('2',plain,
( subrel
= ( ^ [R: $i > $i > $o,S: $i > $i > $o] :
! [X: $i,Y: $i] :
( ( R @ X @ Y )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[subrel]) ).
thf('3',plain,
( subrel
= ( ^ [V_1: $i > $i > $o,V_2: $i > $i > $o] :
! [X4: $i,X6: $i] :
( ( V_1 @ X4 @ X6 )
=> ( V_2 @ X4 @ X6 ) ) ) ),
define([status(thm)]) ).
thf('4',plain,
( tc
= ( ^ [R: $i > $i > $o,X: $i,Y: $i] :
! [S: $i > $i > $o] :
( ( ( trans @ S )
& ( subrel @ R @ S ) )
=> ( S @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[transitive_closure,'1','3']) ).
thf('5',plain,
( tc
= ( ^ [V_1: $i > $i > $o,V_2: $i,V_3: $i] :
! [X4: $i > $i > $o] :
( ( ( trans @ X4 )
& ( subrel @ V_1 @ X4 ) )
=> ( X4 @ V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf('6',plain,
( ind
= ( ^ [R: $i > $i > $o] :
! [P: $i > $o] :
( ! [X: $i] :
( ! [Y: $i] :
( ( tc @ R @ X @ Y )
=> ( P @ Y ) )
=> ( P @ X ) )
=> ! [X: $i] : ( P @ X ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[satisfying_the_induction_principle,'5','1','3']) ).
thf('7',plain,
( ind
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i > $o] :
( ! [X6: $i] :
( ! [X8: $i] :
( ( tc @ V_1 @ X6 @ X8 )
=> ( X4 @ X8 ) )
=> ( X4 @ X6 ) )
=> ! [X10: $i] : ( X4 @ X10 ) ) ) ),
define([status(thm)]) ).
thf(terminating,axiom,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) )
& ( A @ X ) ) ) ) ) ).
thf('8',plain,
( term
= ( ^ [R: $i > $i > $o] :
! [A: $i > $o] :
( ? [X: $i] : ( A @ X )
=> ? [X: $i] :
( ! [Y: $i] :
( ( A @ Y )
=> ~ ( R @ X @ Y ) )
& ( A @ X ) ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[terminating]) ).
thf('9',plain,
( term
= ( ^ [V_1: $i > $i > $o] :
! [X4: $i > $o] :
( ? [X6: $i] : ( X4 @ X6 )
=> ? [X8: $i] :
( ! [X10: $i] :
( ( X4 @ X10 )
=> ~ ( V_1 @ X8 @ X10 ) )
& ( X4 @ X8 ) ) ) ) ),
define([status(thm)]) ).
thf(induction_implies_termination,conjecture,
! [R: $i > $i > $o] :
( ( ind @ R )
=> ( term @ R ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i > $i > $o] :
( ! [X6: $i > $o] :
( ! [X8: $i] :
( ! [X10: $i] :
( ! [X12: $i > $i > $o] :
( ( ! [X20: $i,X22: $i] :
( ( X4 @ X20 @ X22 )
=> ( X12 @ X20 @ X22 ) )
& ! [X14: $i,X16: $i,X18: $i] :
( ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ X18 ) ) )
=> ( X12 @ X8 @ X10 ) )
=> ( X6 @ X10 ) )
=> ( X6 @ X8 ) )
=> ! [X24: $i] : ( X6 @ X24 ) )
=> ! [X26: $i > $o] :
( ? [X28: $i] : ( X26 @ X28 )
=> ? [X30: $i] :
( ( X26 @ X30 )
& ! [X32: $i] :
( ( X26 @ X32 )
=> ~ ( X4 @ X30 @ X32 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i > $i > $o] :
( ! [X6: $i > $o] :
( ! [X8: $i] :
( ! [X10: $i] :
( ! [X12: $i > $i > $o] :
( ( ! [X20: $i,X22: $i] :
( ( X4 @ X20 @ X22 )
=> ( X12 @ X20 @ X22 ) )
& ! [X14: $i,X16: $i,X18: $i] :
( ( ( X12 @ X16 @ X18 )
& ( X12 @ X14 @ X16 ) )
=> ( X12 @ X14 @ X18 ) ) )
=> ( X12 @ X8 @ X10 ) )
=> ( X6 @ X10 ) )
=> ( X6 @ X8 ) )
=> ! [X24: $i] : ( X6 @ X24 ) )
=> ! [X26: $i > $o] :
( ? [X28: $i] : ( X26 @ X28 )
=> ? [X30: $i] :
( ( X26 @ X30 )
& ! [X32: $i] :
( ( X26 @ X32 )
=> ~ ( X4 @ X30 @ X32 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( !!
@ ^ [Y1: $i > $o] :
( ( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( !!
@ ^ [Y4: $i > $i > $o] :
( ( ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) )
& ( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y3 ) ) )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: $i] : ( Y1 @ Y2 ) ) ) )
=> ( !!
@ ^ [Y1: $i > $o] :
( ( ??
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
=> ( ??
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( !!
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
=> ( (~) @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1,plain,
~ ( ( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
=> ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: $i > $o] :
( ( ??
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( ??
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( !!
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
=> ( (~) @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
~ ( ( ??
@ ^ [Y0: $i] : ( '#sk2' @ Y0 ) )
=> ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
& ( !!
@ ^ [Y1: $i] :
( ( '#sk2' @ Y1 )
=> ( (~) @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
~ ( ( '#sk2' @ X2 )
& ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( (~) @ ( '#sk1' @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ~ ( '#sk2' @ X2 )
| ~ ( !!
@ ^ [Y0: $i] :
( ( '#sk2' @ Y0 )
=> ( (~) @ ( '#sk1' @ X2 @ Y0 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ~ ( ( '#sk2' @ ( '#sk20' @ X2 ) )
=> ( (~) @ ( '#sk1' @ X2 @ ( '#sk20' @ X2 ) ) ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl20,plain,
! [X2: $i] :
( ( '#sk2' @ ( '#sk20' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl8,plain,
( ??
@ ^ [Y0: $i] : ( '#sk2' @ Y0 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl11,plain,
'#sk2' @ '#sk10',
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl21,plain,
! [X2: $i] :
( ( '#sk1' @ X2 @ ( '#sk20' @ X2 ) )
| ~ ( '#sk2' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: $i > $o] :
( ( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i] :
( ( !!
@ ^ [Y3: $i > $i > $o] :
( ( ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( '#sk1' @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y2 ) ) )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl4,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y1 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: $i > $o] :
( ~ ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i] :
( ( !!
@ ^ [Y2: $i > $i > $o] :
( ( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( '#sk1' @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
=> ( X2 @ Y1 ) ) )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i > $o] :
( ~ ( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ ( '#sk9' @ X2 ) @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( X2 @ ( '#sk9' @ X2 ) ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl13,plain,
! [X2: $i > $o] :
( ( !!
@ ^ [Y0: $i] :
( ( !!
@ ^ [Y1: $i > $i > $o] :
( ( ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( '#sk1' @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) ) )
=> ( Y1 @ ( '#sk9' @ X2 ) @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl16,plain,
! [X2: $i > $o,X4: $i] :
( ( ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ ( '#sk9' @ X2 ) @ X4 ) ) )
=> ( X2 @ X4 ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl19,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( !!
@ ^ [Y0: $i > $i > $o] :
( ( ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( '#sk1' @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( !!
@ ^ [Y3: $i] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ ( '#sk9' @ X2 ) @ X4 ) ) )
| ( X2 @ X4 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl22,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk26' @ X2 @ X4 @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk26' @ X2 @ X4 @ Y1 @ Y2 )
& ( '#sk26' @ X2 @ X4 @ Y0 @ Y1 ) )
=> ( '#sk26' @ X2 @ X4 @ Y0 @ Y2 ) ) ) ) ) )
=> ( '#sk26' @ X2 @ X4 @ ( '#sk9' @ X2 ) @ X4 ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl23,plain,
! [X2: $i > $o,X4: $i] :
( ( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk26' @ X2 @ X4 @ Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( ( '#sk26' @ X2 @ X4 @ Y1 @ Y2 )
& ( '#sk26' @ X2 @ X4 @ Y0 @ Y1 ) )
=> ( '#sk26' @ X2 @ X4 @ Y0 @ Y2 ) ) ) ) ) )
| ( X2 @ X4 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl25,plain,
! [X2: $i > $o,X4: $i] :
( ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( '#sk1' @ Y0 @ Y1 )
=> ( '#sk26' @ X2 @ X4 @ Y0 @ Y1 ) ) ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl28,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( !!
@ ^ [Y0: $i] :
( ( '#sk1' @ X6 @ Y0 )
=> ( '#sk26' @ X2 @ X4 @ X6 @ Y0 ) ) )
| ( X2 @ X4 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl31,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ( ( '#sk1' @ X6 @ X8 )
=> ( '#sk26' @ X2 @ X4 @ X6 @ X8 ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) )
| ( X2 @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl33,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i] :
( ~ ( '#sk1' @ X6 @ X8 )
| ( '#sk26' @ X2 @ X4 @ X6 @ X8 )
| ( X2 @ X4 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).
thf(zip_derived_cl35,plain,
! [X2: $i > $o,X4: $i,X6: $i,X8: $i,X10: $i] :
( ( X2 @ X10 )
| ( X2 @ X4 )
| ( '#sk26' @ X2 @ X4 @ X6 @ X8 )
| ~ ( '#sk1' @ X6 @ X8 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i,X2: $i > $o,X3: $i] :
( ~ ( '#sk1' @ X1 @ X0 )
| ( X2 @ X3 )
| ( '#sk26' @ X2 @ X3 @ X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl147,plain,
! [X0: $i,X1: $i,X2: $i > $o] :
( ~ ( '#sk2' @ X0 )
| ( '#sk26' @ X2 @ X1 @ X0 @ ( '#sk20' @ X0 ) )
| ( X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl37]) ).
thf(zip_derived_cl24,plain,
! [X2: $i > $o,X4: $i] :
( ~ ( '#sk26' @ X2 @ X4 @ ( '#sk9' @ X2 ) @ X4 )
| ( X2 @ X4 )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl27,plain,
! [X2: $i > $o,X4: $i,X6: $i] :
( ( X2 @ X6 )
| ( X2 @ X4 )
| ~ ( '#sk26' @ X2 @ X4 @ ( '#sk9' @ X2 ) @ X4 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i > $o] :
( ~ ( '#sk26' @ X1 @ X0 @ ( '#sk9' @ X1 ) @ X0 )
| ( X1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl14,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk9' @ X2 ) )
| ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X2: $i > $o,X4: $i] :
( ( X2 @ X4 )
| ~ ( X2 @ ( '#sk9' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl11563,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl20,zip_derived_cl11,zip_derived_cl147,zip_derived_cl30,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU481^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zDB4DXmitt true
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 14:58:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.22/0.63 % Total configuration time : 828
% 0.22/0.63 % Estimated wc time : 1656
% 0.22/0.63 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 47.55/6.80 % Solved by lams/20_acsne_simpl.sh.
% 47.55/6.80 % done 547 iterations in 6.018s
% 47.55/6.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.55/6.80 % SZS output start Refutation
% See solution above
% 47.55/6.80
% 47.55/6.80
% 47.55/6.80 % Terminating...
% 48.00/6.87 % Runner terminated.
% 48.00/6.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------