%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV311^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F01dRBUJTo true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:57:33 PM UTC 2025
% Result : Theorem 32.10s 7.86s
% Output : Refutation 32.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 383 ( 3 equ; 0 cnn)
% Maximal formula atoms : 18 ( 8 avg)
% Number of connectives : 976 ( 31 ~; 40 |; 0 &; 608 @)
% ( 0 <=>; 164 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 13 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 70 ( 70 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% ( 133 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 209 ( 165 ^; 44 !; 0 ?; 209 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk1_type',type,
'#sk1': a ).
thf('#sk150_type',type,
'#sk150': ( a > $o ) > a ).
thf('#l_lift6947_type',type,
'#l_lift6947': a > $o ).
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_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_cl6_001,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_cl1983,plain,
! [X1: a] :
( ( '#l_lift6947' @ X1 )
= ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1984,plain,
cF @ '#l_lift6947' @ '#sk1',
inference(lambda_lifting,[status(thm)],[zip_derived_cl6,zip_derived_cl1983]) ).
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_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_002,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_cl1983_003,plain,
! [X1: a] :
( ( '#l_lift6947' @ X1 )
= ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1992,plain,
! [X2: a] :
( ~ ( '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( cF @ '#sk8' @ X2 )
| ~ ( cF @ '#l_lift6947' @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl130,zip_derived_cl1983]) ).
thf(zip_derived_cl123,plain,
( ( cF @ '#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_cl125,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' ) )
| ( cF @ '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl123]) ).
thf(zip_derived_cl127,plain,
! [X2: a] :
( ~ ( cF
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a > $o] :
( ( !!
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X2 )
| ( cF @ '#sk8' @ X2 )
| ( cF @ '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( '#sk8' @ ( '#sk150' @ '#sk8' ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl125]) ).
thf(zip_derived_cl87_004,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_cl129,plain,
! [X2: a] :
( ( cF @ '#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_cl127,zip_derived_cl87]) ).
thf(zip_derived_cl1983_005,plain,
! [X1: a] :
( ( '#l_lift6947' @ X1 )
= ( !!
@ ^ [Y0: a > $o] :
( ( !!
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0 @ X1 ) ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl1991,plain,
! [X2: a] :
( ( cF @ '#sk8' @ ( '#sk13' @ ( cF @ '#sk8' ) @ '#sk8' ) )
| ( cF @ '#sk8' @ X2 )
| ~ ( cF @ '#l_lift6947' @ X2 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl129,zip_derived_cl1983]) ).
thf(zip_derived_cl2006,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl14,zip_derived_cl1984,zip_derived_cl20,zip_derived_cl1992,zip_derived_cl1991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEV311^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.F01dRBUJTo true
% 0.09/0.33 % Computer : n025.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Wed Oct 1 15:37:23 EDT 2025
% 0.09/0.33 % CPUTime :
% 0.09/0.33 % Running portfolio for 300 s
% 0.09/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Number of cores: 8
% 0.09/0.34 % Python version: Python 3.6.8
% 0.09/0.34 % Running in HO mode
% 0.13/0.59 % Total configuration time : 828
% 0.13/0.59 % Estimated wc time : 1656
% 0.13/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.98/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.98/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.98/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.18/0.86 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.18/0.89 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.18/0.92 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.18/0.94 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.18/0.95 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 32.10/7.86 % Solved by lams/20_acsne_simpl.sh.
% 32.10/7.86 % done 79 iterations in 6.798s
% 32.10/7.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.10/7.86 % SZS output start Refutation
% See solution above
% 32.10/7.86
% 32.10/7.86
% 32.10/7.86 % Terminating...
% 32.38/8.02 % Runner terminated.
% 32.42/8.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------