TSTP Solution File: SEV000^5 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV000^5 : 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.ny7nNxhFvq true
% Computer : n013.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 19:59:14 EDT 2023
% Result : Theorem 27.56s 4.31s
% Output : Refutation 27.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 59 ( 33 unt; 3 typ; 0 def)
% Number of atoms : 258 ( 122 equ; 0 cnn)
% Maximal formula atoms : 35 ( 4 avg)
% Number of connectives : 982 ( 5 ~; 0 |; 49 &; 775 @)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% ( 135 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 265 ( 135 ^; 130 !; 0 ?; 265 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf('#sk2_type',type,
'#sk2': a > a > a ).
thf('#sk1_type',type,
'#sk1': a > a > a ).
thf(cMODULAR_EQUIV_THM_pme,conjecture,
! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( JOIN @ Xx @ Xz )
= Xz )
=> ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ Xz ) ) )
<=> ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx ) )
=> ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( JOIN @ Xx @ Xz )
= Xz )
=> ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ Xz ) ) )
<=> ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ),
inference('cnf.neg',[status(esa)],[cMODULAR_EQUIV_THM_pme]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
= ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
= Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y2 )
= Y2 ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
= Y4 )
=> ( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y4 ) ) ) ) ) )
<=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ ( Y1 @ Y3 @ ( Y0 @ Y2 @ Y4 ) ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ Y2 )
= Y2 ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( Y0 @ Y1 @ Y2 ) @ Y2 )
= Y2 ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
= ( Y0 @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y1 @ Y2 )
= ( '#sk1' @ Y2 @ Y1 ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y0 @ Y1 @ Y2 ) @ Y3 )
= ( Y0 @ Y1 @ ( Y0 @ Y2 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 )
= ( '#sk1' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) )
& ( !!
@ ^ [Y1: a] :
( ( Y0 @ Y1 @ Y1 )
= Y1 ) )
& ( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y1 @ Y1 )
= Y1 ) ) )
=> ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( '#sk1' @ Y1 @ Y3 )
= Y3 )
=> ( ( '#sk1' @ Y1 @ ( Y0 @ Y2 @ Y3 ) )
= ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 ) ) ) ) ) )
<=> ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( '#sk1' @ Y1 @ ( Y0 @ Y2 @ ( '#sk1' @ Y1 @ Y3 ) ) )
= ( Y0 @ ( '#sk1' @ Y1 @ Y2 ) @ ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
~ ( ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ) )
=> ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( '#sk1' @ Y0 @ Y2 )
= Y2 )
=> ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 ) ) ) ) ) )
<=> ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ ( '#sk1' @ Y0 @ Y2 ) ) )
= ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl5,plain,
( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) )
& ( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ Y0 @ Y0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl26,plain,
! [X2: a] :
( ( '#sk2' @ X2 @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl50,plain,
! [X2: a] :
( ( '#sk2' @ X2 @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).
thf(zip_derived_cl11,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl24,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ Y0 ) @ Y1 )
= ( '#sk2' @ X2 @ ( '#sk2' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).
thf(zip_derived_cl48,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ Y0 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).
thf(zip_derived_cl90,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl162,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl1043,plain,
! [X0: a,X1: a] :
( ( '#sk2' @ X0 @ X1 )
= ( '#sk2' @ X0 @ ( '#sk2' @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl50,zip_derived_cl162]) ).
thf(zip_derived_cl9,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ Y0 @ Y1 )
= ( '#sk2' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl22,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ X2 @ Y0 )
= ( '#sk2' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl46,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl88,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl162_001,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl1041,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk2' @ ( '#sk2' @ X1 @ X0 ) @ X2 )
= ( '#sk2' @ X0 @ ( '#sk2' @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl162]) ).
thf(zip_derived_cl162_002,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk2' @ ( '#sk2' @ X2 @ X4 ) @ X6 )
= ( '#sk2' @ X2 @ ( '#sk2' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).
thf(zip_derived_cl88_003,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl1032,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk2' @ X0 @ ( '#sk2' @ X2 @ X1 ) )
= ( '#sk2' @ X2 @ ( '#sk2' @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl88]) ).
thf(zip_derived_cl14,plain,
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ Y0 @ Y0 )
= Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl27,plain,
! [X2: a] :
( ( '#sk1' @ X2 @ X2 )
= X2 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).
thf(zip_derived_cl51,plain,
! [X2: a] :
( ( '#sk1' @ X2 @ X2 )
= X2 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl12,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
= ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl25,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ Y0 ) @ Y1 )
= ( '#sk1' @ X2 @ ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl49,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ Y0 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ Y0 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl91,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl163,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl1110,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ X0 @ X1 )
= ( '#sk1' @ X0 @ ( '#sk1' @ X0 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl163]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ Y0 @ Y1 )
= ( '#sk1' @ Y1 @ Y0 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl23,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ X2 @ Y0 )
= ( '#sk1' @ Y0 @ X2 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl47,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl89,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl163_004,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl1108,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk1' @ ( '#sk1' @ X1 @ X0 ) @ X2 )
= ( '#sk1' @ X0 @ ( '#sk1' @ X1 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl163]) ).
thf(zip_derived_cl163_005,plain,
! [X2: a,X4: a,X6: a] :
( ( '#sk1' @ ( '#sk1' @ X2 @ X4 ) @ X6 )
= ( '#sk1' @ X2 @ ( '#sk1' @ X4 @ X6 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl91]) ).
thf(zip_derived_cl89_006,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ X2 @ X4 )
= ( '#sk1' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl1097,plain,
! [X0: a,X1: a,X2: a] :
( ( '#sk1' @ X2 @ ( '#sk1' @ X1 @ X0 ) )
= ( '#sk1' @ X0 @ ( '#sk1' @ X2 @ X1 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl89]) ).
thf(zip_derived_cl88_007,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl20,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ Y0 ) @ Y0 )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl44,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl86,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ X4 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl839,plain,
! [X0: a,X1: a] :
( ( '#sk2' @ X0 @ ( '#sk1' @ X1 @ X0 ) )
= X0 ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl86]) ).
thf(zip_derived_cl88_008,plain,
! [X2: a,X4: a] :
( ( '#sk2' @ X2 @ X4 )
= ( '#sk2' @ X4 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl46]) ).
thf(zip_derived_cl8,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
= Y1 ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl21,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ Y0 ) @ Y0 )
= Y0 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl45,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ X4 )
= X4 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl87,plain,
! [X2: a,X4: a] :
( ( '#sk1' @ ( '#sk2' @ X2 @ X4 ) @ X4 )
= X4 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl841,plain,
! [X0: a,X1: a] :
( ( '#sk1' @ ( '#sk2' @ X1 @ X0 ) @ X1 )
= X1 ),
inference('sup+',[status(thm)],[zip_derived_cl88,zip_derived_cl87]) ).
thf(zip_derived_cl0_009,plain,
~ ( !!
@ ^ [Y0: a > a > a] :
( !!
@ ^ [Y1: a > a > a] :
( ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ ( Y1 @ Y2 @ Y3 ) @ Y3 )
= Y3 ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
= ( Y1 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y1 @ ( Y1 @ Y2 @ Y3 ) @ Y4 )
= ( Y1 @ Y2 @ ( Y1 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ ( Y0 @ Y2 @ Y3 ) @ Y4 )
= ( Y0 @ Y2 @ ( Y0 @ Y3 @ Y4 ) ) ) ) ) )
& ( !!
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
= Y2 ) )
& ( !!
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y2 )
= Y2 ) ) )
=> ( ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
= Y4 )
=> ( ( Y0 @ Y2 @ ( Y1 @ Y3 @ Y4 ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ Y4 ) ) ) ) ) )
<=> ( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( !!
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ ( Y1 @ Y3 @ ( Y0 @ Y2 @ Y4 ) ) )
= ( Y1 @ ( Y0 @ Y2 @ Y3 ) @ ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7447,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl1043,zip_derived_cl1041,zip_derived_cl1032,zip_derived_cl1110,zip_derived_cl1108,zip_derived_cl1097,zip_derived_cl839,zip_derived_cl841,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV000^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ny7nNxhFvq true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:37:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.20/0.36 % Python version: Python 3.6.8
% 0.20/0.36 % Running in HO mode
% 0.21/0.68 % Total configuration time : 828
% 0.21/0.68 % Estimated wc time : 1656
% 0.21/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 27.56/4.31 % Solved by lams/15_e_short1.sh.
% 27.56/4.31 % done 1474 iterations in 3.338s
% 27.56/4.31 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.56/4.31 % SZS output start Refutation
% See solution above
% 27.56/4.31
% 27.56/4.31
% 27.56/4.31 % Terminating...
% 28.17/4.39 % Runner terminated.
% 28.17/4.39 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------