TSTP Solution File: SEV311^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV311^5 : 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.IDq2Jma45D true
% Computer : n006.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 20:00:23 EDT 2023
% Result : Theorem 21.50s 3.41s
% Output : Refutation 21.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 6 unt; 6 typ; 0 def)
% Number of atoms : 404 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 6 avg)
% Number of connectives : 1109 ( 38 ~; 52 |; 0 &; 696 @)
% ( 0 <=>; 178 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 12 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% ( 145 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 241 ( 182 ^; 59 !; 0 ?; 241 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a ).
thf('#sk150_type',type,
'#sk150': ( a > $o ) > a ).
thf(cF_type,type,
cF: ( a > $o ) > a > $o ).
thf('#sk8_type',type,
'#sk8': a > $o ).
thf('#sk13_type',type,
'#sk13': ( a > $o ) > ( a > $o ) > a ).
thf(cTHM521_pme,conjecture,
( ! [X: a > $o,Y: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
=> ! [Xx: a] :
( ( cF @ X @ Xx )
=> ( cF @ Y @ Xx ) ) )
=> ! [Xx: a] :
( ( cF
@ ^ [Xx0: a] :
! [S: a > $o] :
( ! [Xx1: a] :
( ( cF @ S @ Xx1 )
=> ( S @ Xx1 ) )
=> ( S @ Xx0 ) )
@ Xx )
=> ! [S: a > $o] :
( ! [Xx0: a] :
( ( cF @ S @ Xx0 )
=> ( S @ Xx0 ) )
=> ( S @ Xx ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: a > $o,Y: a > $o] :
( ! [Xx: a] :
( ( X @ Xx )
=> ( Y @ Xx ) )
=> ! [Xx: a] :
( ( cF @ X @ Xx )
=> ( cF @ Y @ Xx ) ) )
=> ! [Xx: a] :
( ( cF
@ ^ [Xx0: a] :
! [S: a > $o] :
( ! [Xx1: a] :
( ( cF @ S @ Xx1 )
=> ( S @ Xx1 ) )
=> ( S @ Xx0 ) )
@ Xx )
=> ! [S: a > $o] :
( ! [Xx0: a] :
( ( cF @ S @ Xx0 )
=> ( S @ Xx0 ) )
=> ( S @ Xx ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM521_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cF @ Y0 @ Y2 )
=> ( cF @ Y1 @ Y2 ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ '#sk1' )
=> ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ '#sk1' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
~ ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ '#sk1' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl11,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( cF @ '#sk8' @ Y0 )
=> ( '#sk8' @ Y0 ) ) )
=> ( '#sk8' @ '#sk1' ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl14,plain,
~ ( '#sk8' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a > $o] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( !!
@ ^ [Y2: a] :
( ( cF @ Y0 @ Y2 )
=> ( cF @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a > $o] :
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cF @ X2 @ Y1 )
=> ( cF @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl24,plain,
( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) )
=> ( !!
@ ^ [Y1: a] :
( ( cF
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a > $o] :
( ( !!
@ ^ [Y4: a] :
( ( cF @ Y3 @ Y4 )
=> ( Y3 @ Y4 ) ) )
=> ( Y3 @ Y2 ) ) )
@ Y1 )
=> ( cF @ Y0 @ Y1 ) ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl75,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl77,plain,
( ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( '#sk8' @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl104,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( '#sk8' @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl105,plain,
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( '#sk150' @ '#sk8' ) ) ) )
=> ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl104]) ).
thf(zip_derived_cl106,plain,
( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( '#sk150' @ '#sk8' ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl105]) ).
thf(zip_derived_cl108,plain,
! [X2: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( cF @ X2 @ Y0 )
=> ( X2 @ Y0 ) ) )
=> ( X2 @ ( '#sk150' @ '#sk8' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl106]) ).
thf(zip_derived_cl110,plain,
( ( ( !!
@ ^ [Y0: a] :
( ( cF @ '#sk8' @ Y0 )
=> ( '#sk8' @ Y0 ) ) )
=> ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl121,plain,
( ~ ( !!
@ ^ [Y0: a] :
( ( cF @ '#sk8' @ Y0 )
=> ( '#sk8' @ Y0 ) ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl122,plain,
( ~ ( ( cF @ '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
=> ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl121]) ).
thf(zip_derived_cl124,plain,
( ~ ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ '#sk8' @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl122]) ).
thf(zip_derived_cl126,plain,
! [X2: a] :
( ( ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X2 )
=> ( cF @ '#sk8' @ X2 ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) )
| ~ ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl124]) ).
thf(zip_derived_cl128,plain,
! [X2: a] :
( ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X2 )
| ( cF @ '#sk8' @ X2 )
| ~ ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).
thf(zip_derived_cl75_001,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
=> ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl78,plain,
! [X2: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
=> ( X2 @ Y0 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl79,plain,
! [X2: a > $o] :
( ~ ( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( '#sk150' @ X2 ) ) ) )
=> ( X2 @ ( '#sk150' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl81,plain,
! [X2: a > $o] :
( ~ ( X2 @ ( '#sk150' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl85,plain,
! [X2: a > $o,X4: a] :
( ( ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
=> ( cF @ X2 @ X4 ) )
| ~ ( X2 @ ( '#sk150' @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl87,plain,
! [X2: a > $o,X4: a] :
( ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
| ( cF @ X2 @ X4 )
| ~ ( X2 @ ( '#sk150' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl130,plain,
! [X2: a] :
( ~ ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( cF @ '#sk8' @ X2 )
| ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl128,zip_derived_cl87]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( cF @ '#sk8' @ Y0 )
=> ( '#sk8' @ Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( ( cF @ '#sk8' @ X2 )
=> ( '#sk8' @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( ~ ( cF @ '#sk8' @ X2 )
| ( '#sk8' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl6,plain,
( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl80,plain,
! [X2: a > $o] :
( ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( '#sk150' @ X2 ) ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl79]) ).
thf(zip_derived_cl82,plain,
! [X2: a > $o,X4: a > $o] :
( ( ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( X4 @ Y0 ) ) )
=> ( X4 @ ( '#sk150' @ X2 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl86,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( !!
@ ^ [Y0: a] :
( ( cF @ X4 @ Y0 )
=> ( X4 @ Y0 ) ) )
| ( X4 @ ( '#sk150' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl88,plain,
! [X2: a > $o,X4: a > $o] :
( ~ ( ( cF @ X4 @ ( '#sk13' @ ( cF @ X4 ) @ X4 ) )
=> ( X4 @ ( '#sk13' @ ( cF @ X4 ) @ X4 ) ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) )
| ( X4 @ ( '#sk150' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl86]) ).
thf(zip_derived_cl89,plain,
! [X2: a > $o,X4: a > $o] :
( ( cF @ X4 @ ( '#sk13' @ ( cF @ X4 ) @ X4 ) )
| ( X4 @ ( '#sk150' @ X2 ) )
| ( !!
@ ^ [Y0: a] :
( ( cF
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a > $o] :
( ( !!
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ Y0 )
=> ( cF @ X2 @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).
thf(zip_derived_cl91,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ( ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X6 )
=> ( cF @ X2 @ X6 ) )
| ( X4 @ ( '#sk150' @ X2 ) )
| ( cF @ X4 @ ( '#sk13' @ ( cF @ X4 ) @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl89]) ).
thf(zip_derived_cl93,plain,
! [X2: a > $o,X4: a > $o,X6: a] :
( ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X6 )
| ( cF @ X2 @ X6 )
| ( cF @ X4 @ ( '#sk13' @ ( cF @ X4 ) @ X4 ) )
| ( X4 @ ( '#sk150' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl2289,plain,
! [X0: a > $o,X1: a > $o] :
( ( X0 @ ( '#sk150' @ X1 ) )
| ( cF @ X0 @ ( '#sk13' @ ( cF @ X0 ) @ X0 ) )
| ( cF @ X1 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl93]) ).
thf(zip_derived_cl20_002,plain,
! [X2: a] :
( ~ ( cF @ '#sk8' @ X2 )
| ( '#sk8' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl2330,plain,
! [X0: a > $o] :
( ( cF @ X0 @ '#sk1' )
| ( '#sk8' @ ( '#sk150' @ X0 ) )
| ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2289,zip_derived_cl20]) ).
thf(zip_derived_cl2662,plain,
( ( '#sk8' @ '#sk1' )
| ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl2330]) ).
thf(zip_derived_cl14_003,plain,
~ ( '#sk8' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl20_004,plain,
! [X2: a] :
( ~ ( cF @ '#sk8' @ X2 )
| ( '#sk8' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl6_005,plain,
( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl87_006,plain,
! [X2: a > $o,X4: a] :
( ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 )
| ( cF @ X2 @ X4 )
| ~ ( X2 @ ( '#sk150' @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl85]) ).
thf(zip_derived_cl1995,plain,
! [X0: a > $o] :
( ~ ( X0 @ ( '#sk150' @ X0 ) )
| ( cF @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl87]) ).
thf(zip_derived_cl2033,plain,
( ( '#sk8' @ '#sk1' )
| ~ ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl20,zip_derived_cl1995]) ).
thf(zip_derived_cl14_007,plain,
~ ( '#sk8' @ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl2069,plain,
~ ( '#sk8' @ ( '#sk150' @ '#sk8' ) ),
inference(demod,[status(thm)],[zip_derived_cl2033,zip_derived_cl14]) ).
thf(zip_derived_cl2671,plain,
'#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ),
inference(demod,[status(thm)],[zip_derived_cl2662,zip_derived_cl14,zip_derived_cl2069]) ).
thf(zip_derived_cl2878,plain,
! [X2: a] :
( ( cF @ '#sk8' @ X2 )
| ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl2671]) ).
thf(zip_derived_cl6_008,plain,
( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ '#sk1' ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl2879,plain,
cF @ '#sk8' @ '#sk1',
inference('sup+',[status(thm)],[zip_derived_cl2878,zip_derived_cl6]) ).
thf(zip_derived_cl20_009,plain,
! [X2: a] :
( ~ ( cF @ '#sk8' @ X2 )
| ( '#sk8' @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl2899,plain,
'#sk8' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl2879,zip_derived_cl20]) ).
thf(zip_derived_cl2929,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl2899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV311^5 : 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.IDq2Jma45D true
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 02:43:38 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
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.68 % Total configuration time : 828
% 0.22/0.68 % Estimated wc time : 1656
% 0.22/0.68 % 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
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.79 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 21.50/3.41 % Solved by lams/20_acsne_simpl.sh.
% 21.50/3.41 % done 163 iterations in 2.592s
% 21.50/3.41 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.50/3.41 % SZS output start Refutation
% See solution above
% 21.50/3.41
% 21.50/3.41
% 21.50/3.42 % Terminating...
% 21.50/3.53 % Runner terminated.
% 21.50/3.53 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------