TSTP Solution File: SEV045^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV045^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HEFZ2ecs4k true
% Computer : n024.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 19:59:24 EDT 2023
% Result : Theorem 1.22s 0.86s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 81 ( 17 unt; 8 typ; 0 def)
% Number of atoms : 411 ( 15 equ; 0 cnn)
% Maximal formula atoms : 37 ( 5 avg)
% Number of connectives : 1183 ( 49 ~; 38 |; 49 &; 826 @)
% ( 0 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% ( 117 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 228 ( 117 ^; 111 !; 0 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(b_type,type,
b: $tType ).
thf(cQ_type,type,
cQ: a > b > b > $o ).
thf(g_type,type,
g: a > b ).
thf(cP_type,type,
cP: a > a > $o ).
thf(f_type,type,
f: a > b ).
thf('#sk2_type',type,
'#sk2': a ).
thf('#sk1_type',type,
'#sk1': a ).
thf(cTHM509_pme,conjecture,
( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xy @ Xz )
& ( cP @ Xx @ Xy ) )
=> ( cP @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) )
& ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xy @ Xz )
& ( cQ @ Xx @ Xx0 @ Xy ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xx ) ) )
=> ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( f @ Xy ) ) )
=> ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cP @ Xy @ Xz )
& ( cP @ Xx @ Xy ) )
=> ( cP @ Xx @ Xz ) )
& ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cP @ Xy @ Xx ) ) )
=> ( ( ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( ( cQ @ Xx )
= ( cQ @ Xy ) ) )
& ! [Xx: a] :
( ( cP @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b,Xz: b] :
( ( ( cQ @ Xx @ Xy @ Xz )
& ( cQ @ Xx @ Xx0 @ Xy ) )
=> ( cQ @ Xx @ Xx0 @ Xz ) )
& ! [Xx0: b,Xy: b] :
( ( cQ @ Xx @ Xx0 @ Xy )
=> ( cQ @ Xx @ Xy @ Xx0 ) ) ) ) )
=> ! [Xx: a,Xy: a] :
( ( cP @ Xx @ Xy )
=> ( cQ @ Xx @ ( f @ Xx ) @ ( g @ Xy ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cTHM509_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( f @ Y1 ) ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cP @ Y1 @ Y0 ) ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( f @ Y1 ) ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cP @ Y1 @ Y0 ) ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl5,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cP @ Y1 @ Y0 ) ) ) ) )
=> ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl9,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) )
=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl13,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl18,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( ( cQ @ Y0 )
= ( cQ @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cP @ X2 @ Y0 )
=> ( ( cQ @ X2 )
= ( cQ @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).
thf(zip_derived_cl28,plain,
! [X2: a,X4: a] :
( ( cP @ X2 @ X4 )
=> ( ( cQ @ X2 )
= ( cQ @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a] :
( ~ ( cP @ X2 @ X4 )
| ( ( cQ @ X2 )
= ( cQ @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl37,plain,
! [X2: a,X4: a] :
( ~ ( cP @ X2 @ X4 )
| ( ( cQ @ X2 )
= ( cQ @ X4 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl14,plain,
~ ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl20,plain,
~ ( !!
@ ^ [Y0: a] :
( ( cP @ '#sk1' @ Y0 )
=> ( cQ @ '#sk1' @ ( f @ '#sk1' ) @ ( g @ Y0 ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl25,plain,
~ ( ( cP @ '#sk1' @ '#sk2' )
=> ( cQ @ '#sk1' @ ( f @ '#sk1' ) @ ( g @ '#sk2' ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl30,plain,
cP @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl8,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cP @ Y1 @ Y0 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cP @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl17,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cP @ X2 @ Y0 )
=> ( cP @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a] :
( ( cP @ X2 @ X4 )
=> ( cP @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).
thf(zip_derived_cl27,plain,
! [X2: a,X4: a] :
( ~ ( cP @ X2 @ X4 )
| ( cP @ X4 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl46,plain,
cP @ '#sk2' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl52,plain,
( ( cQ @ '#sk2' )
= ( cQ @ '#sk1' ) ),
inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl46]) ).
thf(zip_derived_cl61,plain,
! [X1: b,X2: b] :
( ( cQ @ '#sk2' @ X1 @ X2 )
= ( cQ @ '#sk1' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl4,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( f @ Y1 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl7,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( cP @ X2 @ Y0 )
=> ( cQ @ X2 @ ( f @ X2 ) @ ( f @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: a,X4: a] :
( ( cP @ X2 @ X4 )
=> ( cQ @ X2 @ ( f @ X2 ) @ ( f @ X4 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
! [X2: a,X4: a] :
( ~ ( cP @ X2 @ X4 )
| ( cQ @ X2 @ ( f @ X2 ) @ ( f @ X4 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl72,plain,
! [X0: a] :
( ( cQ @ '#sk1' @ ( f @ '#sk2' ) @ ( f @ X0 ) )
| ~ ( cP @ '#sk2' @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl15]) ).
thf(zip_derived_cl19,plain,
( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( !!
@ ^ [Y3: b] :
( ( ( cQ @ Y0 @ Y2 @ Y3 )
& ( cQ @ Y0 @ Y1 @ Y2 ) )
=> ( cQ @ Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( cQ @ Y0 @ Y1 @ Y2 )
=> ( cQ @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( ( cP @ X2 @ X2 )
=> ( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( cQ @ X2 @ Y1 @ Y2 )
& ( cQ @ X2 @ Y0 @ Y1 ) )
=> ( cQ @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( cQ @ X2 @ Y0 @ Y1 )
=> ( cQ @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl29,plain,
! [X2: a] :
( ~ ( cP @ X2 @ X2 )
| ( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( cQ @ X2 @ Y1 @ Y2 )
& ( cQ @ X2 @ Y0 @ Y1 ) )
=> ( cQ @ X2 @ Y0 @ Y2 ) ) ) ) )
& ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( cQ @ X2 @ Y0 @ Y1 )
=> ( cQ @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl35,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( cQ @ X2 @ Y0 @ Y1 )
=> ( cQ @ X2 @ Y1 @ Y0 ) ) ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl39,plain,
! [X2: a,X4: b] :
( ( !!
@ ^ [Y0: b] :
( ( cQ @ X2 @ X4 @ Y0 )
=> ( cQ @ X2 @ Y0 @ X4 ) ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: b,X6: b] :
( ( ( cQ @ X2 @ X4 @ X6 )
=> ( cQ @ X2 @ X6 @ X4 ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).
thf(zip_derived_cl43,plain,
! [X2: a,X4: b,X6: b] :
( ~ ( cQ @ X2 @ X4 @ X6 )
| ( cQ @ X2 @ X6 @ X4 )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl236,plain,
! [X0: a] :
( ~ ( cP @ '#sk2' @ X0 )
| ~ ( cP @ '#sk1' @ '#sk1' )
| ( cQ @ '#sk1' @ ( f @ X0 ) @ ( f @ '#sk2' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl43]) ).
thf(zip_derived_cl30_001,plain,
cP @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl46_002,plain,
cP @ '#sk2' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( cP @ Y1 @ Y2 )
& ( cP @ Y0 @ Y1 ) )
=> ( cP @ Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl16,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( cP @ Y0 @ Y1 )
& ( cP @ X2 @ Y0 ) )
=> ( cP @ X2 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl21,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( cP @ X4 @ Y0 )
& ( cP @ X2 @ X4 ) )
=> ( cP @ X2 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl26,plain,
! [X2: a,X4: a,X6: a] :
( ( ( cP @ X4 @ X6 )
& ( cP @ X2 @ X4 ) )
=> ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl32,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( cP @ X4 @ X6 )
& ( cP @ X2 @ X4 ) )
| ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl36,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( cP @ X4 @ X6 )
| ~ ( cP @ X2 @ X4 )
| ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl62,plain,
! [X0: a] :
( ( cP @ X0 @ '#sk1' )
| ~ ( cP @ X0 @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl36]) ).
thf(zip_derived_cl112,plain,
cP @ '#sk1' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl62]) ).
thf(zip_derived_cl241,plain,
! [X0: a] :
( ~ ( cP @ '#sk2' @ X0 )
| ( cQ @ '#sk1' @ ( f @ X0 ) @ ( f @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl236,zip_derived_cl112]) ).
thf(zip_derived_cl61_003,plain,
! [X1: b,X2: b] :
( ( cQ @ '#sk2' @ X1 @ X2 )
= ( cQ @ '#sk1' @ X1 @ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl1,plain,
( !!
@ ^ [Y0: a] :
( ( cP @ Y0 @ Y0 )
=> ( cQ @ Y0 @ ( f @ Y0 ) @ ( g @ Y0 ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl3,plain,
! [X2: a] :
( ( cP @ X2 @ X2 )
=> ( cQ @ X2 @ ( f @ X2 ) @ ( g @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl6,plain,
! [X2: a] :
( ~ ( cP @ X2 @ X2 )
| ( cQ @ X2 @ ( f @ X2 ) @ ( g @ X2 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl73,plain,
( ( cQ @ '#sk1' @ ( f @ '#sk2' ) @ ( g @ '#sk2' ) )
| ~ ( cP @ '#sk2' @ '#sk2' ) ),
inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl6]) ).
thf(zip_derived_cl34,plain,
! [X2: a] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( !!
@ ^ [Y2: b] :
( ( ( cQ @ X2 @ Y1 @ Y2 )
& ( cQ @ X2 @ Y0 @ Y1 ) )
=> ( cQ @ X2 @ Y0 @ Y2 ) ) ) ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl38,plain,
! [X2: a,X4: b] :
( ( !!
@ ^ [Y0: b] :
( !!
@ ^ [Y1: b] :
( ( ( cQ @ X2 @ Y0 @ Y1 )
& ( cQ @ X2 @ X4 @ Y0 ) )
=> ( cQ @ X2 @ X4 @ Y1 ) ) ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl40,plain,
! [X2: a,X4: b,X6: b] :
( ( !!
@ ^ [Y0: b] :
( ( ( cQ @ X2 @ X6 @ Y0 )
& ( cQ @ X2 @ X4 @ X6 ) )
=> ( cQ @ X2 @ X4 @ Y0 ) ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl38]) ).
thf(zip_derived_cl42,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ( ( ( cQ @ X2 @ X6 @ X8 )
& ( cQ @ X2 @ X4 @ X6 ) )
=> ( cQ @ X2 @ X4 @ X8 ) )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ~ ( ( cQ @ X2 @ X6 @ X8 )
& ( cQ @ X2 @ X4 @ X6 ) )
| ( cQ @ X2 @ X4 @ X8 )
| ~ ( cP @ X2 @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: b,X6: b,X8: b] :
( ~ ( cQ @ X2 @ X6 @ X8 )
| ~ ( cQ @ X2 @ X4 @ X6 )
| ~ ( cP @ X2 @ X2 )
| ( cQ @ X2 @ X4 @ X8 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl124,plain,
! [X0: b] :
( ~ ( cP @ '#sk2' @ '#sk2' )
| ( cQ @ '#sk1' @ X0 @ ( g @ '#sk2' ) )
| ~ ( cP @ '#sk1' @ '#sk1' )
| ~ ( cQ @ '#sk1' @ X0 @ ( f @ '#sk2' ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl45]) ).
thf(zip_derived_cl112_004,plain,
cP @ '#sk1' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl62]) ).
thf(zip_derived_cl137,plain,
! [X0: b] :
( ~ ( cP @ '#sk2' @ '#sk2' )
| ( cQ @ '#sk1' @ X0 @ ( g @ '#sk2' ) )
| ~ ( cQ @ '#sk1' @ X0 @ ( f @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl112]) ).
thf(zip_derived_cl46_005,plain,
cP @ '#sk2' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl30_006,plain,
cP @ '#sk1' @ '#sk2',
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl36_007,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( cP @ X4 @ X6 )
| ~ ( cP @ X2 @ X4 )
| ( cP @ X2 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl32]) ).
thf(zip_derived_cl63,plain,
! [X0: a] :
( ( cP @ X0 @ '#sk2' )
| ~ ( cP @ X0 @ '#sk1' ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl36]) ).
thf(zip_derived_cl169,plain,
cP @ '#sk2' @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl63]) ).
thf(zip_derived_cl708,plain,
! [X0: b] :
( ( cQ @ '#sk1' @ X0 @ ( g @ '#sk2' ) )
| ~ ( cQ @ '#sk1' @ X0 @ ( f @ '#sk2' ) ) ),
inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl169]) ).
thf(zip_derived_cl31,plain,
~ ( cQ @ '#sk1' @ ( f @ '#sk1' ) @ ( g @ '#sk2' ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl709,plain,
~ ( cQ @ '#sk1' @ ( f @ '#sk1' ) @ ( f @ '#sk2' ) ),
inference('sup-',[status(thm)],[zip_derived_cl708,zip_derived_cl31]) ).
thf(zip_derived_cl738,plain,
~ ( cP @ '#sk2' @ '#sk1' ),
inference('sup-',[status(thm)],[zip_derived_cl241,zip_derived_cl709]) ).
thf(zip_derived_cl46_008,plain,
cP @ '#sk2' @ '#sk1',
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl27]) ).
thf(zip_derived_cl747,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl738,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV045^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HEFZ2ecs4k true
% 0.14/0.35 % Computer : n024.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 02:55:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % 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
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.20/0.83 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.22/0.86 % Solved by lams/35_full_unif4.sh.
% 1.22/0.86 % done 286 iterations in 0.106s
% 1.22/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.22/0.86 % SZS output start Refutation
% See solution above
% 1.22/0.87
% 1.22/0.87
% 1.22/0.87 % Terminating...
% 1.24/0.95 % Runner terminated.
% 1.24/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------